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Finding the Fourth Proportional to 11,230.62, 15,498.06 and 6,195.31

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Solution

The fourth proportional to 11,230.62, 15,498.06 and 6,195.31 is: 8,549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.62 : 15,498.06 = 6,195.31 : x
  2. Step 2: Convert to fraction form
    11,230.62/15,498.06 = 6,195.31/x
  3. Step 3: Cross multiply
    11,230.62x = 15,498.06 × 6,195.31
  4. Step 4: Simplify right side
    11,230.62x = 96,015,286.10
  5. Step 5: Solve for x
    x = 96,015,286.10/11,230.62
  6. Step 6: Final answer
    x = 8,549.42

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Half scale
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Double scale
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1.5x scale

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.