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Finding the Fourth Proportional to 6,269.79, 9,398.49 and 3,497.76

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Solution

The fourth proportional to 6,269.79, 9,398.49 and 3,497.76 is: 5,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.79 : 9,398.49 = 3,497.76 : x
  2. Step 2: Convert to fraction form
    6,269.79/9,398.49 = 3,497.76/x
  3. Step 3: Cross multiply
    6,269.79x = 9,398.49 × 3,497.76
  4. Step 4: Simplify right side
    6,269.79x = 32,873,662.38
  5. Step 5: Solve for x
    x = 32,873,662.38/6,269.79
  6. Step 6: Final answer
    x = 5,243.18

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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.