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Finding the Fourth Proportional to 6,105.52, 9,163.95 and 2,410.30

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Solution

The fourth proportional to 6,105.52, 9,163.95 and 2,410.30 is: 3,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.52 : 9,163.95 = 2,410.30 : x
  2. Step 2: Convert to fraction form
    6,105.52/9,163.95 = 2,410.30/x
  3. Step 3: Cross multiply
    6,105.52x = 9,163.95 × 2,410.30
  4. Step 4: Simplify right side
    6,105.52x = 22,087,868.69
  5. Step 5: Solve for x
    x = 22,087,868.69/6,105.52
  6. Step 6: Final answer
    x = 3,617.69

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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.