Math, asked by kamjoshi81, 7 months ago

 IF 2,3,6,X ARE IN PROPORTION , THE VALUE OF X IS


Answers

Answered by Shini1219
2

Answer:

We know that,

Product of means = Product of extremes

2 : 3 : : 6 : x

Product of means = 3 × 6 = 18

Product of extremes = 2 × x = 2x

Therefore, 18 = 2x

x = 18/2

x = 9

Hope this helps! Thank you!

Answered by Anonymous
5

Question:-

If 2,3,6,x are in proportion, find the value of x.

AnSwEr:-

Given that 2,3,6,x are in proportion. we can also write it as

\sf\implies 2:3:\::6:x

\sf\implies \dfrac{2}{3}=\dfrac{6}{x}

now, use cross multiplication

\sf \frac{2}{3}\nearrow\frac{6}{x}\:\;\Bigg|\Bigg|\frac{2}{3}\nwarrow\frac{6}{x}

so, 2 × x = 2x

6 × 3 = 18

\rm

\sf \implies 2x = 6\times3

\sf \implies 2x = 18

\sf \implies x = \dfrac{18}{2}

\boxed{\sf \implies x = 9}

Quick recap!

what is proportion in ratio?

→ A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five.

20:25: :4:5

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