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Finding the Fourth Proportional to 37,674, 56,514.24 and 9,972

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Solution

The fourth proportional to 37,674, 56,514.24 and 9,972 is: 14,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,674 : 56,514.24 = 9,972 : x
  2. Step 2: Convert to fraction form
    37,674/56,514.24 = 9,972/x
  3. Step 3: Cross multiply
    37,674x = 56,514.24 × 9,972
  4. Step 4: Simplify right side
    37,674x = 563,560,001.28
  5. Step 5: Solve for x
    x = 563,560,001.28/37,674
  6. Step 6: Final answer
    x = 14,958.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.