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Finding the Fourth Proportional to 5,998.14, 8,276.13 and 3,640.86

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Solution

The fourth proportional to 5,998.14, 8,276.13 and 3,640.86 is: 5,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.14 : 8,276.13 = 3,640.86 : x
  2. Step 2: Convert to fraction form
    5,998.14/8,276.13 = 3,640.86/x
  3. Step 3: Cross multiply
    5,998.14x = 8,276.13 × 3,640.86
  4. Step 4: Simplify right side
    5,998.14x = 30,132,230.67
  5. Step 5: Solve for x
    x = 30,132,230.67/5,998.14
  6. Step 6: Final answer
    x = 5,023.60

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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.