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Finding the Fourth Proportional to 6,101.70, 9,154.18 and 2,591.87

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Solution

The fourth proportional to 6,101.70, 9,154.18 and 2,591.87 is: 3,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.70 : 9,154.18 = 2,591.87 : x
  2. Step 2: Convert to fraction form
    6,101.70/9,154.18 = 2,591.87/x
  3. Step 3: Cross multiply
    6,101.70x = 9,154.18 × 2,591.87
  4. Step 4: Simplify right side
    6,101.70x = 23,726,401.99
  5. Step 5: Solve for x
    x = 23,726,401.99/6,101.70
  6. Step 6: Final answer
    x = 3,888.49

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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.