To find the value of ( x ), we can set up a proportion:
[\frac{8}{25} = \frac{7\frac{1}{2}}{x}]
Let's convert ( 7\frac{1}{2} ) to an improper fraction:
[7\frac{1}{2} = \frac{15}{2}]
Now the proportion becomes:
[\frac{8}{25} = \frac{15}{2x}]
To solve for ( x ), we can cross multiply:
[8 \cdot 2x = 15 \cdot 25][16x = 375][x = \frac{375}{16}][x = 23.4375]
Therefore, the value of ( x ) is ( 23.4375 ).
To find the value of ( x ), we can set up a proportion:
[
\frac{8}{25} = \frac{7\frac{1}{2}}{x}
]
Let's convert ( 7\frac{1}{2} ) to an improper fraction:
[
7\frac{1}{2} = \frac{15}{2}
]
Now the proportion becomes:
[
\frac{8}{25} = \frac{15}{2x}
]
To solve for ( x ), we can cross multiply:
[
8 \cdot 2x = 15 \cdot 25
]
[
16x = 375
]
[
x = \frac{375}{16}
]
[
x = 23.4375
]
Therefore, the value of ( x ) is ( 23.4375 ).