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Finding the Fourth Proportional to 6,363.46, 9,542.10 and 2,203.71

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Solution

The fourth proportional to 6,363.46, 9,542.10 and 2,203.71 is: 3,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.46 : 9,542.10 = 2,203.71 : x
  2. Step 2: Convert to fraction form
    6,363.46/9,542.10 = 2,203.71/x
  3. Step 3: Cross multiply
    6,363.46x = 9,542.10 × 2,203.71
  4. Step 4: Simplify right side
    6,363.46x = 21,027,993.67
  5. Step 5: Solve for x
    x = 21,027,993.67/6,363.46
  6. Step 6: Final answer
    x = 3,304.49

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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.