Answer: Answer : [tex] \large{ \boxed{ \rm{ \pmb{ \pink{x = 11}}}}} [/tex] [tex] \boxed{ \bf{ \underline{7 : \pink{11} : : 35 : 55 }}} [/tex] Step-by-step explanation : • In this question, we are provided with the proportion [tex] \bf 7 : x : : 35 : 55 [/tex] and we have to find the value of x. • So, for calculating the value of x, we will apply this method, [tex] \boxed{ \tt{ \underline{Product \: of \: means = Product \: of \: extremes }}} [/tex] • And lastly we will calculate the value of x. Given : [tex] \tt 7 : x : : 35 : 55 [/tex] To Find : The value of x. Options given : 5 6 13 11 [tex] \checkmark [/tex] Calculations : We know that, [tex] \boxed{ \tt{ \underline{Product \: of \: extremes = Product \: of \: means }}} [/tex] Putting the values, [tex] \mapsto \sf \dfrac{7}{x} = \dfrac{35}{55} [/tex] ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ [tex] \mapsto \sf x = \dfrac{55 \times 7}{35} [/tex] On multiplying the numbers [55 × 7] [tex] \mapsto \sf x = \dfrac{385}{35} [/tex] Performing division, [tex] \mapsto \sf x = \cancel \dfrac{385}{35} [/tex] ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ [tex] \mapsto \boxed{ \rm{ \pmb{ \red{ x = 11}}}} \ [/tex] Therefore, The value of x is 11. Reply

Answer:Answer :

[tex] \large{ \boxed{ \rm{ \pmb{ \pink{x = 11}}}}} [/tex]

[tex] \boxed{ \bf{ \underline{7 : \pink{11} : : 35 : 55 }}} [/tex]

Step-by-step explanation :

• In this question, we are provided with the proportion [tex] \bf 7 : x : : 35 : 55 [/tex] and we have to find the value of x.

• So, for calculating the value of x, we will apply this method,

[tex] \boxed{ \tt{ \underline{Product \: of \: means = Product \: of \: extremes }}} [/tex]

• And lastly we will calculate the value of x.

Given :

[tex] \tt 7 : x : : 35 : 55 [/tex]

To Find :

The value of x.

Options given :

5

6

13

11 [tex] \checkmark [/tex]

Calculations :

We know that,

[tex] \boxed{ \tt{ \underline{Product \: of \: extremes = Product \: of \: means }}} [/tex]

Putting the values,

[tex] \mapsto \sf \dfrac{7}{x} = \dfrac{35}{55} [/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \mapsto \sf x = \dfrac{55 \times 7}{35} [/tex]

On multiplying the numbers [55 × 7]

[tex] \mapsto \sf x = \dfrac{385}{35} [/tex]

Performing division,

[tex] \mapsto \sf x = \cancel \dfrac{385}{35} [/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex] \mapsto \boxed{ \rm{ \pmb{ \red{ x = 11}}}} \ [/tex]

Therefore,

The value of x is 11.