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Finding the Fourth Proportional to 12,497.75, 18,732.04 and 6,948.44

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Solution

The fourth proportional to 12,497.75, 18,732.04 and 6,948.44 is: 10,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.75 : 18,732.04 = 6,948.44 : x
  2. Step 2: Convert to fraction form
    12,497.75/18,732.04 = 6,948.44/x
  3. Step 3: Cross multiply
    12,497.75x = 18,732.04 × 6,948.44
  4. Step 4: Simplify right side
    12,497.75x = 130,158,456.02
  5. Step 5: Solve for x
    x = 130,158,456.02/12,497.75
  6. Step 6: Final answer
    x = 10,414.55

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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.