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Finding the Fourth Proportional to 24,778.31, 37,157.74 and 9,984.47

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Solution

The fourth proportional to 24,778.31, 37,157.74 and 9,984.47 is: 14,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.31 : 37,157.74 = 9,984.47 : x
  2. Step 2: Convert to fraction form
    24,778.31/37,157.74 = 9,984.47/x
  3. Step 3: Cross multiply
    24,778.31x = 37,157.74 × 9,984.47
  4. Step 4: Simplify right side
    24,778.31x = 371,000,340.30
  5. Step 5: Solve for x
    x = 371,000,340.30/24,778.31
  6. Step 6: Final answer
    x = 14,972.79

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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.