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Finding the Fourth Proportional to 6,467, 9,699.42 and 2,306.84

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Solution

The fourth proportional to 6,467, 9,699.42 and 2,306.84 is: 3,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467 : 9,699.42 = 2,306.84 : x
  2. Step 2: Convert to fraction form
    6,467/9,699.42 = 2,306.84/x
  3. Step 3: Cross multiply
    6,467x = 9,699.42 × 2,306.84
  4. Step 4: Simplify right side
    6,467x = 22,375,010.03
  5. Step 5: Solve for x
    x = 22,375,010.03/6,467
  6. Step 6: Final answer
    x = 3,459.87

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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.