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Finding the Fourth Proportional to 6,745.67, 9,309.23 and 3,761.43

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Solution

The fourth proportional to 6,745.67, 9,309.23 and 3,761.43 is: 5,190.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.67 : 9,309.23 = 3,761.43 : x
  2. Step 2: Convert to fraction form
    6,745.67/9,309.23 = 3,761.43/x
  3. Step 3: Cross multiply
    6,745.67x = 9,309.23 × 3,761.43
  4. Step 4: Simplify right side
    6,745.67x = 35,016,017.00
  5. Step 5: Solve for x
    x = 35,016,017.00/6,745.67
  6. Step 6: Final answer
    x = 5,190.89

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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.