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Finding the Fourth Proportional to 6,445.50, 9,668.45 and 3,067.55

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Solution

The fourth proportional to 6,445.50, 9,668.45 and 3,067.55 is: 4,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.50 : 9,668.45 = 3,067.55 : x
  2. Step 2: Convert to fraction form
    6,445.50/9,668.45 = 3,067.55/x
  3. Step 3: Cross multiply
    6,445.50x = 9,668.45 × 3,067.55
  4. Step 4: Simplify right side
    6,445.50x = 29,658,453.80
  5. Step 5: Solve for x
    x = 29,658,453.80/6,445.50
  6. Step 6: Final answer
    x = 4,601.42

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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.