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Finding the Fourth Proportional to 6,398.60, 9,599.95 and 4,060.57

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Solution

The fourth proportional to 6,398.60, 9,599.95 and 4,060.57 is: 6,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.60 : 9,599.95 = 4,060.57 : x
  2. Step 2: Convert to fraction form
    6,398.60/9,599.95 = 4,060.57/x
  3. Step 3: Cross multiply
    6,398.60x = 9,599.95 × 4,060.57
  4. Step 4: Simplify right side
    6,398.60x = 38,981,268.97
  5. Step 5: Solve for x
    x = 38,981,268.97/6,398.60
  6. Step 6: Final answer
    x = 6,092.16

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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.