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Finding the Fourth Proportional to 24,882.50, 37,323.89 and 6,414.50

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Solution

The fourth proportional to 24,882.50, 37,323.89 and 6,414.50 is: 9,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.50 : 37,323.89 = 6,414.50 : x
  2. Step 2: Convert to fraction form
    24,882.50/37,323.89 = 6,414.50/x
  3. Step 3: Cross multiply
    24,882.50x = 37,323.89 × 6,414.50
  4. Step 4: Simplify right side
    24,882.50x = 239,414,092.41
  5. Step 5: Solve for x
    x = 239,414,092.41/24,882.50
  6. Step 6: Final answer
    x = 9,621.79

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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.