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Finding the Fourth Proportional to 6,404.67, 9,608.28 and 2,706.87

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Solution

The fourth proportional to 6,404.67, 9,608.28 and 2,706.87 is: 4,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.67 : 9,608.28 = 2,706.87 : x
  2. Step 2: Convert to fraction form
    6,404.67/9,608.28 = 2,706.87/x
  3. Step 3: Cross multiply
    6,404.67x = 9,608.28 × 2,706.87
  4. Step 4: Simplify right side
    6,404.67x = 26,008,364.88
  5. Step 5: Solve for x
    x = 26,008,364.88/6,404.67
  6. Step 6: Final answer
    x = 4,060.84

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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.