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Finding the Fourth Proportional to 24,724.98, 37,092.33 and 9,142.74

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Solution

The fourth proportional to 24,724.98, 37,092.33 and 9,142.74 is: 13,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.98 : 37,092.33 = 9,142.74 : x
  2. Step 2: Convert to fraction form
    24,724.98/37,092.33 = 9,142.74/x
  3. Step 3: Cross multiply
    24,724.98x = 37,092.33 × 9,142.74
  4. Step 4: Simplify right side
    24,724.98x = 339,125,529.18
  5. Step 5: Solve for x
    x = 339,125,529.18/24,724.98
  6. Step 6: Final answer
    x = 13,715.91

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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.