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Finding the Fourth Proportional to 6,592.26, 9,890.22 and 2,699.40

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Solution

The fourth proportional to 6,592.26, 9,890.22 and 2,699.40 is: 4,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.26 : 9,890.22 = 2,699.40 : x
  2. Step 2: Convert to fraction form
    6,592.26/9,890.22 = 2,699.40/x
  3. Step 3: Cross multiply
    6,592.26x = 9,890.22 × 2,699.40
  4. Step 4: Simplify right side
    6,592.26x = 26,697,659.87
  5. Step 5: Solve for x
    x = 26,697,659.87/6,592.26
  6. Step 6: Final answer
    x = 4,049.85

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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.