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Finding the Fourth Proportional to 6,273.54, 9,410.67 and 2,765.20

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Solution

The fourth proportional to 6,273.54, 9,410.67 and 2,765.20 is: 4,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.54 : 9,410.67 = 2,765.20 : x
  2. Step 2: Convert to fraction form
    6,273.54/9,410.67 = 2,765.20/x
  3. Step 3: Cross multiply
    6,273.54x = 9,410.67 × 2,765.20
  4. Step 4: Simplify right side
    6,273.54x = 26,022,323.80
  5. Step 5: Solve for x
    x = 26,022,323.80/6,273.54
  6. Step 6: Final answer
    x = 4,147.95

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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.