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Finding the Fourth Proportional to 24,311, 36,472.66 and 6,780.83

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Solution

The fourth proportional to 24,311, 36,472.66 and 6,780.83 is: 10,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311 : 36,472.66 = 6,780.83 : x
  2. Step 2: Convert to fraction form
    24,311/36,472.66 = 6,780.83/x
  3. Step 3: Cross multiply
    24,311x = 36,472.66 × 6,780.83
  4. Step 4: Simplify right side
    24,311x = 247,314,907.11
  5. Step 5: Solve for x
    x = 247,314,907.11/24,311
  6. Step 6: Final answer
    x = 10,172.96

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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.