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Finding the Fourth Proportional to 24,761.76, 37,149.12 and 7,233.12

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Solution

The fourth proportional to 24,761.76, 37,149.12 and 7,233.12 is: 10,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.76 : 37,149.12 = 7,233.12 : x
  2. Step 2: Convert to fraction form
    24,761.76/37,149.12 = 7,233.12/x
  3. Step 3: Cross multiply
    24,761.76x = 37,149.12 × 7,233.12
  4. Step 4: Simplify right side
    24,761.76x = 268,704,042.85
  5. Step 5: Solve for x
    x = 268,704,042.85/24,761.76
  6. Step 6: Final answer
    x = 10,851.57

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1.5x scale

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.