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Finding the Fourth Proportional to 7,067.79, 10,601.69 and 4,144.50

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Solution

The fourth proportional to 7,067.79, 10,601.69 and 4,144.50 is: 6,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.79 : 10,601.69 = 4,144.50 : x
  2. Step 2: Convert to fraction form
    7,067.79/10,601.69 = 4,144.50/x
  3. Step 3: Cross multiply
    7,067.79x = 10,601.69 × 4,144.50
  4. Step 4: Simplify right side
    7,067.79x = 43,938,704.21
  5. Step 5: Solve for x
    x = 43,938,704.21/7,067.79
  6. Step 6: Final answer
    x = 6,216.75

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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.