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Finding the Fourth Proportional to 6,337.24, 9,502.92 and 4,947.08

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Solution

The fourth proportional to 6,337.24, 9,502.92 and 4,947.08 is: 7,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.24 : 9,502.92 = 4,947.08 : x
  2. Step 2: Convert to fraction form
    6,337.24/9,502.92 = 4,947.08/x
  3. Step 3: Cross multiply
    6,337.24x = 9,502.92 × 4,947.08
  4. Step 4: Simplify right side
    6,337.24x = 47,011,657.96
  5. Step 5: Solve for x
    x = 47,011,657.96/6,337.24
  6. Step 6: Final answer
    x = 7,418.32

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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.