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Finding the Fourth Proportional to 6,704, 9,251.68 and 3,760

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Solution

The fourth proportional to 6,704, 9,251.68 and 3,760 is: 5,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704 : 9,251.68 = 3,760 : x
  2. Step 2: Convert to fraction form
    6,704/9,251.68 = 3,760/x
  3. Step 3: Cross multiply
    6,704x = 9,251.68 × 3,760
  4. Step 4: Simplify right side
    6,704x = 34,786,316.80
  5. Step 5: Solve for x
    x = 34,786,316.80/6,704
  6. Step 6: Final answer
    x = 5,188.89

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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.