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Finding the Fourth Proportional to 12,562.46, 17,336.67 and 6,974.54

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Solution

The fourth proportional to 12,562.46, 17,336.67 and 6,974.54 is: 9,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.46 : 17,336.67 = 6,974.54 : x
  2. Step 2: Convert to fraction form
    12,562.46/17,336.67 = 6,974.54/x
  3. Step 3: Cross multiply
    12,562.46x = 17,336.67 × 6,974.54
  4. Step 4: Simplify right side
    12,562.46x = 120,915,298.38
  5. Step 5: Solve for x
    x = 120,915,298.38/12,562.46
  6. Step 6: Final answer
    x = 9,625.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.