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Finding the Fourth Proportional to 15,734.25, 21,713.27 and 8,661.13

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Solution

The fourth proportional to 15,734.25, 21,713.27 and 8,661.13 is: 11,952.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.25 : 21,713.27 = 8,661.13 : x
  2. Step 2: Convert to fraction form
    15,734.25/21,713.27 = 8,661.13/x
  3. Step 3: Cross multiply
    15,734.25x = 21,713.27 × 8,661.13
  4. Step 4: Simplify right side
    15,734.25x = 188,061,356.61
  5. Step 5: Solve for x
    x = 188,061,356.61/15,734.25
  6. Step 6: Final answer
    x = 11,952.36

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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.