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Finding the Fourth Proportional to 6,697.50, 10,046.97 and 3,001.38

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Solution

The fourth proportional to 6,697.50, 10,046.97 and 3,001.38 is: 4,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.50 : 10,046.97 = 3,001.38 : x
  2. Step 2: Convert to fraction form
    6,697.50/10,046.97 = 3,001.38/x
  3. Step 3: Cross multiply
    6,697.50x = 10,046.97 × 3,001.38
  4. Step 4: Simplify right side
    6,697.50x = 30,154,774.82
  5. Step 5: Solve for x
    x = 30,154,774.82/6,697.50
  6. Step 6: Final answer
    x = 4,502.39

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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.