Question

5. Set up all proportions from the numbers 9, 150, 105 and 1750​

Answer 1

Answer:

let us group 9 with 150 and 105 with 1750

here, we get

9/150:105/1750

3/50:21/350

3/5:3/50

LHS=RHS

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Answer 2

The numbers 9, 150, 105 and 1750 are in proportion.

Step-by-step explanation:

We have,

9, 150, 105 and 1750​

9 : 150 : : 105 : 1750

To find, the numbers 9, 150, 105 and 1750​​ are in proportion or not.

∴ 9 : 150 : : 105 : 1750

Here, a = 9, b = 150, c = 105 and d = 1750

We know that,

Product of means = Product of extremes

⇒ b × c = a × d

∴ b × c =  150 × 105  = 15750 and

a × d = 9 × 1750  = 15750

∴ Product of means = Product of extremes = 15750

Thus, the numbers 9, 150, 105 and 1750​​ are in proportion.