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Finding the Fourth Proportional to 22,477.28, 33,713.88 and 9,997.88

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Solution

The fourth proportional to 22,477.28, 33,713.88 and 9,997.88 is: 14,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.28 : 33,713.88 = 9,997.88 : x
  2. Step 2: Convert to fraction form
    22,477.28/33,713.88 = 9,997.88/x
  3. Step 3: Cross multiply
    22,477.28x = 33,713.88 × 9,997.88
  4. Step 4: Simplify right side
    22,477.28x = 337,067,326.57
  5. Step 5: Solve for x
    x = 337,067,326.57/22,477.28
  6. Step 6: Final answer
    x = 14,995.91

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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.