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Finding the Fourth Proportional to 12,714.20, 19,073.10 and 3,948.20

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Solution

The fourth proportional to 12,714.20, 19,073.10 and 3,948.20 is: 5,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.20 : 19,073.10 = 3,948.20 : x
  2. Step 2: Convert to fraction form
    12,714.20/19,073.10 = 3,948.20/x
  3. Step 3: Cross multiply
    12,714.20x = 19,073.10 × 3,948.20
  4. Step 4: Simplify right side
    12,714.20x = 75,304,413.42
  5. Step 5: Solve for x
    x = 75,304,413.42/12,714.20
  6. Step 6: Final answer
    x = 5,922.86

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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.