Question

find the value of x in each of the following Proportions : 1). 27 : X :63 84
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Answer 1

Step-by-step explanation:

Product of extreme = Product of means

or, 27 x 84 = X x 63

or, X = 27 x 84 by 63 ( divide it )

or, X = 36

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Answer 2

➣ Answer

• The value of x = 36.

➣ Given

• The following are in proportion 27 : x :: 63 : 84.

➣ To Find

• The value of x.

➣ Step By Step Explanation

Given that 27 : x :: 63 : 84 are in proportion.

We need to find the value of x.

So let's do it !!

➣ Formula Used

$\dag\underline{\boxed{\sf{ \color{green}{\underbrace{w : \underbrace{ x: : y} : z}}}}}$

$\longmapsto \underline{\boxed{ \tt{ \color{red}{{wz = xy}}}}}$

➣ Concept

In this question we know that 27 : x :: 63 : 84 are in proportion we need to find the value of x. We can find the value of x by using the formula. Where wz = xy. We will substitute the values in this form and then we can easily find the value of x using basic arithmetic.

➵ By substituting the values

$\tt \underbrace{27 : \underbrace{x :: 63} :84} \\ \\\longmapsto\tt27\times 84 = 63x \\ \\\longmapsto\tt\cfrac{27 \times 84}{63}=x\\\\\longmapsto{\tt{\color{purple} 36 = x}}$

Therefore, the value of x = 36.

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