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Finding the Fourth Proportional to 9,714.25, 13,456.44 and 9,517.42

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Solution

The fourth proportional to 9,714.25, 13,456.44 and 9,517.42 is: 13,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.25 : 13,456.44 = 9,517.42 : x
  2. Step 2: Convert to fraction form
    9,714.25/13,456.44 = 9,517.42/x
  3. Step 3: Cross multiply
    9,714.25x = 13,456.44 × 9,517.42
  4. Step 4: Simplify right side
    9,714.25x = 128,070,591.18
  5. Step 5: Solve for x
    x = 128,070,591.18/9,714.25
  6. Step 6: Final answer
    x = 13,183.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.