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Finding the Fourth Proportional to 6,195.87, 9,294.11 and 1,813.37

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Solution

The fourth proportional to 6,195.87, 9,294.11 and 1,813.37 is: 2,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.87 : 9,294.11 = 1,813.37 : x
  2. Step 2: Convert to fraction form
    6,195.87/9,294.11 = 1,813.37/x
  3. Step 3: Cross multiply
    6,195.87x = 9,294.11 × 1,813.37
  4. Step 4: Simplify right side
    6,195.87x = 16,853,604.71
  5. Step 5: Solve for x
    x = 16,853,604.71/6,195.87
  6. Step 6: Final answer
    x = 2,720.14

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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.