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Finding the Fourth Proportional to 10,398.64, 15,601.62 and 6,498.52

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Solution

The fourth proportional to 10,398.64, 15,601.62 and 6,498.52 is: 9,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.64 : 15,601.62 = 6,498.52 : x
  2. Step 2: Convert to fraction form
    10,398.64/15,601.62 = 6,498.52/x
  3. Step 3: Cross multiply
    10,398.64x = 15,601.62 × 6,498.52
  4. Step 4: Simplify right side
    10,398.64x = 101,387,439.60
  5. Step 5: Solve for x
    x = 101,387,439.60/10,398.64
  6. Step 6: Final answer
    x = 9,750.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.