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Finding the Fourth Proportional to 6,761.61, 9,330.80 and 3,777.44

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Solution

The fourth proportional to 6,761.61, 9,330.80 and 3,777.44 is: 5,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.61 : 9,330.80 = 3,777.44 : x
  2. Step 2: Convert to fraction form
    6,761.61/9,330.80 = 3,777.44/x
  3. Step 3: Cross multiply
    6,761.61x = 9,330.80 × 3,777.44
  4. Step 4: Simplify right side
    6,761.61x = 35,246,471.61
  5. Step 5: Solve for x
    x = 35,246,471.61/6,761.61
  6. Step 6: Final answer
    x = 5,212.73

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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.