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Finding the Fourth Proportional to 8,309.95, 12,462.39 and 2,761.84

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Solution

The fourth proportional to 8,309.95, 12,462.39 and 2,761.84 is: 4,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.95 : 12,462.39 = 2,761.84 : x
  2. Step 2: Convert to fraction form
    8,309.95/12,462.39 = 2,761.84/x
  3. Step 3: Cross multiply
    8,309.95x = 12,462.39 × 2,761.84
  4. Step 4: Simplify right side
    8,309.95x = 34,419,127.20
  5. Step 5: Solve for x
    x = 34,419,127.20/8,309.95
  6. Step 6: Final answer
    x = 4,141.92

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1.5x scale

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.