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Finding the Fourth Proportional to 37,500, 56,253.24 and 9,798

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Solution

The fourth proportional to 37,500, 56,253.24 and 9,798 is: 14,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,500 : 56,253.24 = 9,798 : x
  2. Step 2: Convert to fraction form
    37,500/56,253.24 = 9,798/x
  3. Step 3: Cross multiply
    37,500x = 56,253.24 × 9,798
  4. Step 4: Simplify right side
    37,500x = 551,169,245.52
  5. Step 5: Solve for x
    x = 551,169,245.52/37,500
  6. Step 6: Final answer
    x = 14,697.85

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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.