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Finding the Fourth Proportional to 6,562.68, 9,847.86 and 2,865.43

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Solution

The fourth proportional to 6,562.68, 9,847.86 and 2,865.43 is: 4,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.68 : 9,847.86 = 2,865.43 : x
  2. Step 2: Convert to fraction form
    6,562.68/9,847.86 = 2,865.43/x
  3. Step 3: Cross multiply
    6,562.68x = 9,847.86 × 2,865.43
  4. Step 4: Simplify right side
    6,562.68x = 28,218,353.48
  5. Step 5: Solve for x
    x = 28,218,353.48/6,562.68
  6. Step 6: Final answer
    x = 4,299.82

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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.