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Finding the Fourth Proportional to 6,363.46, 9,542.90 and 2,202.33

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Solution

The fourth proportional to 6,363.46, 9,542.90 and 2,202.33 is: 3,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.46 : 9,542.90 = 2,202.33 : x
  2. Step 2: Convert to fraction form
    6,363.46/9,542.90 = 2,202.33/x
  3. Step 3: Cross multiply
    6,363.46x = 9,542.90 × 2,202.33
  4. Step 4: Simplify right side
    6,363.46x = 21,016,639.73
  5. Step 5: Solve for x
    x = 21,016,639.73/6,363.46
  6. Step 6: Final answer
    x = 3,302.71

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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.