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Finding the Fourth Proportional to 6,450.61, 9,674.94 and 2,067.47

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Solution

The fourth proportional to 6,450.61, 9,674.94 and 2,067.47 is: 3,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.61 : 9,674.94 = 2,067.47 : x
  2. Step 2: Convert to fraction form
    6,450.61/9,674.94 = 2,067.47/x
  3. Step 3: Cross multiply
    6,450.61x = 9,674.94 × 2,067.47
  4. Step 4: Simplify right side
    6,450.61x = 20,002,648.20
  5. Step 5: Solve for x
    x = 20,002,648.20/6,450.61
  6. Step 6: Final answer
    x = 3,100.89

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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.