To solve for [tex]\( x \)[/tex] in the proportion [tex]\(\frac{7}{8} = \frac{x}{24}\)[/tex], you should perform the following steps:
1. Set the product of 7 and 24 equal to the product of 8 and [tex]\( x \)[/tex], and then solve for [tex]\( x \)[/tex]:
- The original proportion is [tex]\(\frac{7}{8} = \frac{x}{24}\)[/tex].
- Cross-multiply to find the relationship between the terms: [tex]\( 7 \times 24 = 8 \times x \)[/tex].
2. Calculate the product of 7 and 24:
- Multiply 7 by 24 to get: [tex]\( 7 \times 24 = 168 \)[/tex].
3. Set up the equation with the calculated product:
- You now have: [tex]\( 168 = 8 \times x \)[/tex].
4. Solve for [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], divide both sides of the equation by 8: [tex]\( x = \frac{168}{8} \)[/tex].
5. Calculate the value of [tex]\( x \)[/tex]:
- Perform the division to find [tex]\( x \)[/tex]: [tex]\( x = 21 \)[/tex].
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 21 \)[/tex].
Thus, the correct method is:
Set the product of 7 and 24 equal to the product of 8 and [tex]\( x \)[/tex], and then solve for [tex]\( x \)[/tex].
