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Finding the Fourth Proportional to 6,562.87, 9,839.10 and 3,274.27

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Solution

The fourth proportional to 6,562.87, 9,839.10 and 3,274.27 is: 4,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.87 : 9,839.10 = 3,274.27 : x
  2. Step 2: Convert to fraction form
    6,562.87/9,839.10 = 3,274.27/x
  3. Step 3: Cross multiply
    6,562.87x = 9,839.10 × 3,274.27
  4. Step 4: Simplify right side
    6,562.87x = 32,215,869.96
  5. Step 5: Solve for x
    x = 32,215,869.96/6,562.87
  6. Step 6: Final answer
    x = 4,908.81

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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.