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Finding the Fourth Proportional to 6,711, 9,261.34 and 3,767

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Solution

The fourth proportional to 6,711, 9,261.34 and 3,767 is: 5,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711 : 9,261.34 = 3,767 : x
  2. Step 2: Convert to fraction form
    6,711/9,261.34 = 3,767/x
  3. Step 3: Cross multiply
    6,711x = 9,261.34 × 3,767
  4. Step 4: Simplify right side
    6,711x = 34,887,467.78
  5. Step 5: Solve for x
    x = 34,887,467.78/6,711
  6. Step 6: Final answer
    x = 5,198.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.