find the 4rth proportional to 2/3, 4/7, 1 5/6 fast!
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Answer:
If a:b :: c:d or in other words a:b = c: d, then the quantity 'd' is what we call the fourth proportional to a, b and c. For example, if we have 2, 3 and 4, 5 are in the proportion such that 2 and 5 are the extremes, then 5 is the fourth proportional to 2, 3, and 4.
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Given :-
- ⅔ : ⁴⁄₇ : 1 ⅚ : x (x is 4rth proportion)
To find :-
- x (4rth proportion)
Solution :-
- ⅔ : ⁴⁄₇ : ¹¹⁄₆ : x
- ⅔ × x = ⁴⁄₇ × ¹¹⁄₆
- Product of means = Product of extremes
- x = ⁴⁄₇ × ¹¹⁄₆ × ³⁄₂
- ¹¹⁄₇ or 1 ⁴⁄₇ is the value of x
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