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Finding the Fourth Proportional to 5,997.42, 8,996.13 and 2,049.14

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Solution

The fourth proportional to 5,997.42, 8,996.13 and 2,049.14 is: 3,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.42 : 8,996.13 = 2,049.14 : x
  2. Step 2: Convert to fraction form
    5,997.42/8,996.13 = 2,049.14/x
  3. Step 3: Cross multiply
    5,997.42x = 8,996.13 × 2,049.14
  4. Step 4: Simplify right side
    5,997.42x = 18,434,352.32
  5. Step 5: Solve for x
    x = 18,434,352.32/5,997.42
  6. Step 6: Final answer
    x = 3,073.71

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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.