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Finding the Fourth Proportional to 6,493.52, 9,748.92 and 3,417.68

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Solution

The fourth proportional to 6,493.52, 9,748.92 and 3,417.68 is: 5,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.52 : 9,748.92 = 3,417.68 : x
  2. Step 2: Convert to fraction form
    6,493.52/9,748.92 = 3,417.68/x
  3. Step 3: Cross multiply
    6,493.52x = 9,748.92 × 3,417.68
  4. Step 4: Simplify right side
    6,493.52x = 33,318,688.91
  5. Step 5: Solve for x
    x = 33,318,688.91/6,493.52
  6. Step 6: Final answer
    x = 5,131.07

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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.