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Finding the Fourth Proportional to 10,493.47, 15,757.76 and 6,553.90

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Solution

The fourth proportional to 10,493.47, 15,757.76 and 6,553.90 is: 9,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.47 : 15,757.76 = 6,553.90 : x
  2. Step 2: Convert to fraction form
    10,493.47/15,757.76 = 6,553.90/x
  3. Step 3: Cross multiply
    10,493.47x = 15,757.76 × 6,553.90
  4. Step 4: Simplify right side
    10,493.47x = 103,274,783.26
  5. Step 5: Solve for x
    x = 103,274,783.26/10,493.47
  6. Step 6: Final answer
    x = 9,841.81

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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.