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Finding the Fourth Proportional to 6,711.50, 10,067.26 and 2,607.50

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Solution

The fourth proportional to 6,711.50, 10,067.26 and 2,607.50 is: 3,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.50 : 10,067.26 = 2,607.50 : x
  2. Step 2: Convert to fraction form
    6,711.50/10,067.26 = 2,607.50/x
  3. Step 3: Cross multiply
    6,711.50x = 10,067.26 × 2,607.50
  4. Step 4: Simplify right side
    6,711.50x = 26,250,380.45
  5. Step 5: Solve for x
    x = 26,250,380.45/6,711.50
  6. Step 6: Final answer
    x = 3,911.25

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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.