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Finding the Fourth Proportional to 15,991.62, 22,067.97 and 8,917.92

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Solution

The fourth proportional to 15,991.62, 22,067.97 and 8,917.92 is: 12,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991.62 : 22,067.97 = 8,917.92 : x
  2. Step 2: Convert to fraction form
    15,991.62/22,067.97 = 8,917.92/x
  3. Step 3: Cross multiply
    15,991.62x = 22,067.97 × 8,917.92
  4. Step 4: Simplify right side
    15,991.62x = 196,800,391.02
  5. Step 5: Solve for x
    x = 196,800,391.02/15,991.62
  6. Step 6: Final answer
    x = 12,306.47

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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.