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Finding the Fourth Proportional to 22,662.46, 33,974.97 and 10,003.20

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Solution

The fourth proportional to 22,662.46, 33,974.97 and 10,003.20 is: 14,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.46 : 33,974.97 = 10,003.20 : x
  2. Step 2: Convert to fraction form
    22,662.46/33,974.97 = 10,003.20/x
  3. Step 3: Cross multiply
    22,662.46x = 33,974.97 × 10,003.20
  4. Step 4: Simplify right side
    22,662.46x = 339,858,419.90
  5. Step 5: Solve for x
    x = 339,858,419.90/22,662.46
  6. Step 6: Final answer
    x = 14,996.54

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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.