Question

Solve the proportion. a. 4/x = 9 b. 7.5/26 = 75/p

Answer 1

The values of x and p after solving given equations are 0.445 or
`(4)/(9)` and 260 respectively..

SOLUTION:

Given, two proportions are
`(4)/(x)` =9 and
`(7.5)/(26) = (75)/(p)`

We need to solve the given two proportions.

Let us solve the first proportion,
`(4)/(x)` = 9

`(4)/(x) = (9)/(1)`

On cross-multiplication, we get

4
`*` 1 = 9x

4 = 9x

x =
`(4)/(9)`

x = 0.445

Now, let us solve the second proportion
`(7.5)/(26) = (75)/(p)`

`((75)/(10))/(26)=(75)/(p)`

`(75)/(10 * 26) = (75)/(p)`

`(1)/(260) = (1)/(p)`

On cross-multiplication, we get

p = 260

Hence, the values of x and p after solving given equations are 0.445 and 260 respectively.