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Finding the Fourth Proportional to 8,140.76, 11,234.24 and 4,414.76

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Solution

The fourth proportional to 8,140.76, 11,234.24 and 4,414.76 is: 6,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.76 : 11,234.24 = 4,414.76 : x
  2. Step 2: Convert to fraction form
    8,140.76/11,234.24 = 4,414.76/x
  3. Step 3: Cross multiply
    8,140.76x = 11,234.24 × 4,414.76
  4. Step 4: Simplify right side
    8,140.76x = 49,596,473.38
  5. Step 5: Solve for x
    x = 49,596,473.38/8,140.76
  6. Step 6: Final answer
    x = 6,092.36

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Half scale
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Double scale
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Similar ratio
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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.