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Finding the Fourth Proportional to 6,768.22, 9,340.50 and 4,115.20

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Solution

The fourth proportional to 6,768.22, 9,340.50 and 4,115.20 is: 5,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.22 : 9,340.50 = 4,115.20 : x
  2. Step 2: Convert to fraction form
    6,768.22/9,340.50 = 4,115.20/x
  3. Step 3: Cross multiply
    6,768.22x = 9,340.50 × 4,115.20
  4. Step 4: Simplify right side
    6,768.22x = 38,438,025.60
  5. Step 5: Solve for x
    x = 38,438,025.60/6,768.22
  6. Step 6: Final answer
    x = 5,679.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.