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Finding the Fourth Proportional to 6,661.05, 9,974.48 and 6,463.95

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Solution

The fourth proportional to 6,661.05, 9,974.48 and 6,463.95 is: 9,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.05 : 9,974.48 = 6,463.95 : x
  2. Step 2: Convert to fraction form
    6,661.05/9,974.48 = 6,463.95/x
  3. Step 3: Cross multiply
    6,661.05x = 9,974.48 × 6,463.95
  4. Step 4: Simplify right side
    6,661.05x = 64,474,507.68
  5. Step 5: Solve for x
    x = 64,474,507.68/6,661.05
  6. Step 6: Final answer
    x = 9,679.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.