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Finding the Fourth Proportional to 6,697.46, 10,046.19 and 2,747.99

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Solution

The fourth proportional to 6,697.46, 10,046.19 and 2,747.99 is: 4,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.46 : 10,046.19 = 2,747.99 : x
  2. Step 2: Convert to fraction form
    6,697.46/10,046.19 = 2,747.99/x
  3. Step 3: Cross multiply
    6,697.46x = 10,046.19 × 2,747.99
  4. Step 4: Simplify right side
    6,697.46x = 27,606,765.69
  5. Step 5: Solve for x
    x = 27,606,765.69/6,697.46
  6. Step 6: Final answer
    x = 4,121.98

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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.