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Finding the Fourth Proportional to 6,269.76, 9,404.70 and 2,983.18

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Solution

The fourth proportional to 6,269.76, 9,404.70 and 2,983.18 is: 4,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.76 : 9,404.70 = 2,983.18 : x
  2. Step 2: Convert to fraction form
    6,269.76/9,404.70 = 2,983.18/x
  3. Step 3: Cross multiply
    6,269.76x = 9,404.70 × 2,983.18
  4. Step 4: Simplify right side
    6,269.76x = 28,055,912.95
  5. Step 5: Solve for x
    x = 28,055,912.95/6,269.76
  6. Step 6: Final answer
    x = 4,474.80

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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.