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Finding the Fourth Proportional to 6,295.68, 9,442.17 and 2,596.95

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Solution

The fourth proportional to 6,295.68, 9,442.17 and 2,596.95 is: 3,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.68 : 9,442.17 = 2,596.95 : x
  2. Step 2: Convert to fraction form
    6,295.68/9,442.17 = 2,596.95/x
  3. Step 3: Cross multiply
    6,295.68x = 9,442.17 × 2,596.95
  4. Step 4: Simplify right side
    6,295.68x = 24,520,843.38
  5. Step 5: Solve for x
    x = 24,520,843.38/6,295.68
  6. Step 6: Final answer
    x = 3,894.87

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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.