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Finding the Fourth Proportional to 6,500.82, 9,748.80 and 2,057.97

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Solution

The fourth proportional to 6,500.82, 9,748.80 and 2,057.97 is: 3,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.82 : 9,748.80 = 2,057.97 : x
  2. Step 2: Convert to fraction form
    6,500.82/9,748.80 = 2,057.97/x
  3. Step 3: Cross multiply
    6,500.82x = 9,748.80 × 2,057.97
  4. Step 4: Simplify right side
    6,500.82x = 20,062,737.94
  5. Step 5: Solve for x
    x = 20,062,737.94/6,500.82
  6. Step 6: Final answer
    x = 3,086.19

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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.