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Finding the Fourth Proportional to 6,634.46, 9,155.49 and 3,650.30

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Solution

The fourth proportional to 6,634.46, 9,155.49 and 3,650.30 is: 5,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.46 : 9,155.49 = 3,650.30 : x
  2. Step 2: Convert to fraction form
    6,634.46/9,155.49 = 3,650.30/x
  3. Step 3: Cross multiply
    6,634.46x = 9,155.49 × 3,650.30
  4. Step 4: Simplify right side
    6,634.46x = 33,420,285.15
  5. Step 5: Solve for x
    x = 33,420,285.15/6,634.46
  6. Step 6: Final answer
    x = 5,037.38

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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.