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Finding the Fourth Proportional to 6,745.60, 9,309 and 3,761.44

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Solution

The fourth proportional to 6,745.60, 9,309 and 3,761.44 is: 5,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.60 : 9,309 = 3,761.44 : x
  2. Step 2: Convert to fraction form
    6,745.60/9,309 = 3,761.44/x
  3. Step 3: Cross multiply
    6,745.60x = 9,309 × 3,761.44
  4. Step 4: Simplify right side
    6,745.60x = 35,015,244.96
  5. Step 5: Solve for x
    x = 35,015,244.96/6,745.60
  6. Step 6: Final answer
    x = 5,190.83

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1.5x scale

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.