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Finding the Fourth Proportional to 6,912.56, 9,539.34 and 3,768.80

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Solution

The fourth proportional to 6,912.56, 9,539.34 and 3,768.80 is: 5,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.56 : 9,539.34 = 3,768.80 : x
  2. Step 2: Convert to fraction form
    6,912.56/9,539.34 = 3,768.80/x
  3. Step 3: Cross multiply
    6,912.56x = 9,539.34 × 3,768.80
  4. Step 4: Simplify right side
    6,912.56x = 35,951,864.59
  5. Step 5: Solve for x
    x = 35,951,864.59/6,912.56
  6. Step 6: Final answer
    x = 5,200.95

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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.