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Finding the Fourth Proportional to 22,624.60, 33,938.70 and 7,042.24

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Solution

The fourth proportional to 22,624.60, 33,938.70 and 7,042.24 is: 10,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.60 : 33,938.70 = 7,042.24 : x
  2. Step 2: Convert to fraction form
    22,624.60/33,938.70 = 7,042.24/x
  3. Step 3: Cross multiply
    22,624.60x = 33,938.70 × 7,042.24
  4. Step 4: Simplify right side
    22,624.60x = 239,004,470.69
  5. Step 5: Solve for x
    x = 239,004,470.69/22,624.60
  6. Step 6: Final answer
    x = 10,563.92

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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.