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Finding the Fourth Proportional to 12,593.71, 17,382.14 and 9,862.83

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Solution

The fourth proportional to 12,593.71, 17,382.14 and 9,862.83 is: 13,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.71 : 17,382.14 = 9,862.83 : x
  2. Step 2: Convert to fraction form
    12,593.71/17,382.14 = 9,862.83/x
  3. Step 3: Cross multiply
    12,593.71x = 17,382.14 × 9,862.83
  4. Step 4: Simplify right side
    12,593.71x = 171,437,135.01
  5. Step 5: Solve for x
    x = 171,437,135.01/12,593.71
  6. Step 6: Final answer
    x = 13,612.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.