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Finding the Fourth Proportional to 6,462.67, 9,695.37 and 2,765.02

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Solution

The fourth proportional to 6,462.67, 9,695.37 and 2,765.02 is: 4,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.67 : 9,695.37 = 2,765.02 : x
  2. Step 2: Convert to fraction form
    6,462.67/9,695.37 = 2,765.02/x
  3. Step 3: Cross multiply
    6,462.67x = 9,695.37 × 2,765.02
  4. Step 4: Simplify right side
    6,462.67x = 26,807,891.96
  5. Step 5: Solve for x
    x = 26,807,891.96/6,462.67
  6. Step 6: Final answer
    x = 4,148.11

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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.