10. If the numbers x, 6 and 9 are in continued proportion, find the value of x.
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Answer:
Correct option is
A
6.
We know that ,
If a,b,c are in continued proportion, then a:b=b:c
Given,
4,x,9 are in continued proportion.
=> 4:x=x:9
=> 4×9=x×x
=> x=6.
Step-by-step explanation:
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☘️ Question :
If the numbers x, 6 and 9 are in continued proportion, find the value of x.
☘️ Answer :
x = 49.
☘️ Solution :
As we know :
- Product of extremes = Product of means
Since x, 6 and 9 are in continued proportion, we have :
ㅤ x : 6 : : 6 : 9
⟹ x × 9 = 6 × 6
⟹ x = 6 × 6/9
⟹ x = 4
Hence, x = 49.
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