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Finding the Fourth Proportional to 6,468.13, 9,694.08 and 2,766.01

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Solution

The fourth proportional to 6,468.13, 9,694.08 and 2,766.01 is: 4,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.13 : 9,694.08 = 2,766.01 : x
  2. Step 2: Convert to fraction form
    6,468.13/9,694.08 = 2,766.01/x
  3. Step 3: Cross multiply
    6,468.13x = 9,694.08 × 2,766.01
  4. Step 4: Simplify right side
    6,468.13x = 26,813,922.22
  5. Step 5: Solve for x
    x = 26,813,922.22/6,468.13
  6. Step 6: Final answer
    x = 4,145.54

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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.