6 : x : : 78 : 65 find the value is x
Answers
6:x::78:65
6/x=78/65
6×65=78x
78x=65×6
78x=390
x=390/78
x=5
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Answer:
The value of X is 5.
Step-by-step explanation:
Given that:
Expression "6 : x :: 78 : 65" is read as "6 is to x as 78 is to 65".
This is a proportion, which means that the two ratios on either side of the double colon are equivalent.
To find:
The value of x.
Solution:
We can use the cross-multiplication method.
We cross-multiply the terms on either side of the double colon to get:
6 × 65 = x × 78
Simplifying the left-hand side of the equation gives:
390 = 78x
Dividing both sides of the equation by 78 gives:
x = 5
Therefore, the value of x in the proportion 6 : x :: 78 : 65 is 5.
We can check this by verifying that the two ratios are indeed equivalent:
which simplifies to:
Since the ratios are equivalent, we know that x = 5 is the correct value.
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