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Finding the Fourth Proportional to 6,003.69, 9,000.03 and 2,105.97

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Solution

The fourth proportional to 6,003.69, 9,000.03 and 2,105.97 is: 3,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.69 : 9,000.03 = 2,105.97 : x
  2. Step 2: Convert to fraction form
    6,003.69/9,000.03 = 2,105.97/x
  3. Step 3: Cross multiply
    6,003.69x = 9,000.03 × 2,105.97
  4. Step 4: Simplify right side
    6,003.69x = 18,953,793.18
  5. Step 5: Solve for x
    x = 18,953,793.18/6,003.69
  6. Step 6: Final answer
    x = 3,157.02

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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.