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Write the ratio 
12:9 as an equivalent ratio of 
4:x.

Write the ratio 12:9 12: 9 as an equivalent ratio of 4:x 4: x .

Full solution

Q. Write the ratio 12:9 12: 9 as an equivalent ratio of 4:x 4: x .
  1. Identify Given Ratios: Identify the given ratios and the relationship between them.\newlineThe given ratio is 12:912:9, and we want to find an equivalent ratio where the first term is 44. To find the equivalent ratio, we need to find the factor by which the first term of the given ratio (1212) is multiplied or divided to get the first term of the equivalent ratio (44).
  2. Calculate Conversion Factor: Calculate the factor to convert the first term of the given ratio to the first term of the equivalent ratio.\newlineTo convert 1212 to 44, we divide 1212 by 33 (since 12÷3=412 \div 3 = 4). This means we must also divide the second term of the given ratio (99) by the same factor (33) to maintain the equivalence of the ratios.
  3. Divide Second Term: Divide the second term of the given ratio by the factor to find the value of xx.9÷3=39 \div 3 = 3. Therefore, x=3x = 3. This gives us the equivalent ratio of 4:34:3.

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