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Finding the Fourth Proportional to 6,468.23, 9,694.22 and 2,766.10

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Solution

The fourth proportional to 6,468.23, 9,694.22 and 2,766.10 is: 4,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.23 : 9,694.22 = 2,766.10 : x
  2. Step 2: Convert to fraction form
    6,468.23/9,694.22 = 2,766.10/x
  3. Step 3: Cross multiply
    6,468.23x = 9,694.22 × 2,766.10
  4. Step 4: Simplify right side
    6,468.23x = 26,815,230.40
  5. Step 5: Solve for x
    x = 26,815,230.40/6,468.23
  6. Step 6: Final answer
    x = 4,145.68

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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.