Question

What number should be added to 6, 10, 14 and 22 to make the numbers proportional?

please help me to solve this problem ​

Answer 1

Answer:

= 2

Step-by-step explanation:

6 + x,10 + x, 14 + x, 22 + x are in proportion. x = 2. Therefore the number to be added so that they are in proportion = 2.

Answer 2

Answer:

2

Step-by-step explanation:

let the no. be x.

then,

6+x:10+x::14+x:22+x

$\frac{6 + x}{10 + x} = \frac{14 + x}{22 + x}$

$(6 + x)(22 + x) = (14 + x)(10 + x)$

$132 + 6x + 22x + {x}^{2} = 140 + 14x + 10x + {x}^{2}$

$132 + 28x = 140 + 24x$

$28x - 24x = 140 - 132$

$4x = 8$

$x = \frac{8}{4}$

$x = 2$

this is your ans.

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