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Finding the Fourth Proportional to 10,057.86, 15,086.79 and 5,449.86

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Solution

The fourth proportional to 10,057.86, 15,086.79 and 5,449.86 is: 8,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.86 : 15,086.79 = 5,449.86 : x
  2. Step 2: Convert to fraction form
    10,057.86/15,086.79 = 5,449.86/x
  3. Step 3: Cross multiply
    10,057.86x = 15,086.79 × 5,449.86
  4. Step 4: Simplify right side
    10,057.86x = 82,220,893.35
  5. Step 5: Solve for x
    x = 82,220,893.35/10,057.86
  6. Step 6: Final answer
    x = 8,174.79

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.