7. Find the value of x, if 8:16 25: Y.
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Answer: here we go
Step-by-step explanation: If four numbers p, q, r and s are in proportion, then p and s are called the extreme terms and q and r are called the middle terms. Then, the product of extreme terms (i.e. p × s) is equal to the product of middle terms (i.e. r × s).
Therefore, p : q : : r : s ⇒ ps = qr
Solved problems using proportion:
1. Determine if the following are in proportion. If yes write them in proper form.
(i) 32, 48, 140, 210; (ii) 6, 9, 10 and 16
Solution:
(i) 32, 48, 140, 210
32 : 48 = 32/48 = 2/3 = 2 : 3
140 : 210 = 140/210 = 2/3 = 2 : 3
So, 32 : 48 = 140 : 210
Therefore, 32, 48, 140, 210 are in proportion.
i.e., 32 : 48 :: 140 : 210
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