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Finding the Fourth Proportional to 15,883.31, 21,932.90 and 9,925.16

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Solution

The fourth proportional to 15,883.31, 21,932.90 and 9,925.16 is: 13,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.31 : 21,932.90 = 9,925.16 : x
  2. Step 2: Convert to fraction form
    15,883.31/21,932.90 = 9,925.16/x
  3. Step 3: Cross multiply
    15,883.31x = 21,932.90 × 9,925.16
  4. Step 4: Simplify right side
    15,883.31x = 217,687,382.47
  5. Step 5: Solve for x
    x = 217,687,382.47/15,883.31
  6. Step 6: Final answer
    x = 13,705.42

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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.