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Finding the Fourth Proportional to 24,379.92, 36,566.14 and 7,737.79

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Solution

The fourth proportional to 24,379.92, 36,566.14 and 7,737.79 is: 11,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.92 : 36,566.14 = 7,737.79 : x
  2. Step 2: Convert to fraction form
    24,379.92/36,566.14 = 7,737.79/x
  3. Step 3: Cross multiply
    24,379.92x = 36,566.14 × 7,737.79
  4. Step 4: Simplify right side
    24,379.92x = 282,941,073.74
  5. Step 5: Solve for x
    x = 282,941,073.74/24,379.92
  6. Step 6: Final answer
    x = 11,605.50

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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.