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Finding the Fourth Proportional to 7,704.14, 11,500.48 and 6,769.96

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Solution

The fourth proportional to 7,704.14, 11,500.48 and 6,769.96 is: 10,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.14 : 11,500.48 = 6,769.96 : x
  2. Step 2: Convert to fraction form
    7,704.14/11,500.48 = 6,769.96/x
  3. Step 3: Cross multiply
    7,704.14x = 11,500.48 × 6,769.96
  4. Step 4: Simplify right side
    7,704.14x = 77,857,789.58
  5. Step 5: Solve for x
    x = 77,857,789.58/7,704.14
  6. Step 6: Final answer
    x = 10,105.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.