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Finding the Fourth Proportional to 6,593.61, 9,892.50 and 2,898.96

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Solution

The fourth proportional to 6,593.61, 9,892.50 and 2,898.96 is: 4,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.61 : 9,892.50 = 2,898.96 : x
  2. Step 2: Convert to fraction form
    6,593.61/9,892.50 = 2,898.96/x
  3. Step 3: Cross multiply
    6,593.61x = 9,892.50 × 2,898.96
  4. Step 4: Simplify right side
    6,593.61x = 28,677,961.80
  5. Step 5: Solve for x
    x = 28,677,961.80/6,593.61
  6. Step 6: Final answer
    x = 4,349.36

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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.