Question

A ratio of 7.4 to 0.5 can be increased to 12.4 - ??

Answer 1

Let the number that would replace the question mark be x.

Then,

Using butterfly method,

• 7.4/0.5 = 12.4/x
• 7.4*x = 12.4*0.5
• 7.4x = 6.2
• x = 6.2/7.4
• x = 0.84 ( 2 d.p. )

Thus, our final answer would be 0.84 .

Answer 2

0.84

Explanation:

To find the value of
`x` that makes the ratio 7.4 : 0.5 equivalent to 12.4 :
`x`, we can set up a proportion:

`(7.4)/(0.5) = (12.4)/(x)`

Cross-multiply:

`7.4 \cdot x = 0.5 \cdot 12.4`

Simplify both sides:

`7.4x = 6.2`

Now, solve for
`x` by dividing both sides by 7.4:

`x = (6.2)/(7.4)`

`x=0.837837837837...`

`x=0.\overline{837}`

Therefore, the unknown value (
`x`) is 0.84 when rounded to the nearest hundredth.