Question

6, 12, 18, 24 are in proportion​

Answer 1

$\Large\orange{\textbf {\textsf {Answer:}}}$

6×24 =144

12×18=216

as product of means is not equal to product of extremes, therefore they are not in a proportion

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Answer 2

$\underline\blue{\bold{Given \: Question :- }}$

• To check whether 6, 12, 18, 24 are in proportion or not?

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${ \boxed {\bf{Given}}}$

• Four numbers 6, 12, 18, 24.

${ \boxed {\bf{To \: check}}}$

• Whether the numbers are in proportion or not.

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${ \boxed {\bf{Theory \: and \: Concept }}}$

What is a proportion?

• Equality of two ratios is called a proportion. 

In general we know, if four quantities a, b, c, d are in proportion, then a : b = c : d or, a/b = c/d 

Here,

First and fourth terms (a and d) are called extreme terms.

Second and third terms (b and c) are called mean terms.

Product of extreme terms = Product of mean terms

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${ \boxed {\bf{Solution}}}$

$\begin{gathered}\begin{gathered}\bf Given \: numbers = \begin{cases} &\sf{a = 6} \\ &\sf{b = 12} \\ &\sf{c = 18} \\ &\sf{d = 24}\end{cases}\end{gathered}\end{gathered}$

$\sf \: Product \: of \: extreme \: terms = a × d = 6 × 24 = 144$

$\sf \: Product \: of \: mean \: terms = b × c = 12 × 18 = 216$

$\sf \:Since, \: the \: product \: of \: means ≠ product \: of \: extremes.$

$\sf \: Therefore, \: 6, 12, 18, 24 \: are \: not \: in \: proportion.$

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