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Finding the Fourth Proportional to 6,811.59, 10,217.97 and 2,427.96

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Solution

The fourth proportional to 6,811.59, 10,217.97 and 2,427.96 is: 3,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.59 : 10,217.97 = 2,427.96 : x
  2. Step 2: Convert to fraction form
    6,811.59/10,217.97 = 2,427.96/x
  3. Step 3: Cross multiply
    6,811.59x = 10,217.97 × 2,427.96
  4. Step 4: Simplify right side
    6,811.59x = 24,808,822.44
  5. Step 5: Solve for x
    x = 24,808,822.44/6,811.59
  6. Step 6: Final answer
    x = 3,642.15

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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.