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Finding the Fourth Proportional to 15,221.97, 22,833.77 and 5,734.17

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Solution

The fourth proportional to 15,221.97, 22,833.77 and 5,734.17 is: 8,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.97 : 22,833.77 = 5,734.17 : x
  2. Step 2: Convert to fraction form
    15,221.97/22,833.77 = 5,734.17/x
  3. Step 3: Cross multiply
    15,221.97x = 22,833.77 × 5,734.17
  4. Step 4: Simplify right side
    15,221.97x = 130,932,690.25
  5. Step 5: Solve for x
    x = 130,932,690.25/15,221.97
  6. Step 6: Final answer
    x = 8,601.56

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1.5x scale

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.