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Finding the Fourth Proportional to 6,193.49, 9,289.24 and 2,033.42

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Solution

The fourth proportional to 6,193.49, 9,289.24 and 2,033.42 is: 3,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.49 : 9,289.24 = 2,033.42 : x
  2. Step 2: Convert to fraction form
    6,193.49/9,289.24 = 2,033.42/x
  3. Step 3: Cross multiply
    6,193.49x = 9,289.24 × 2,033.42
  4. Step 4: Simplify right side
    6,193.49x = 18,888,869.79
  5. Step 5: Solve for x
    x = 18,888,869.79/6,193.49
  6. Step 6: Final answer
    x = 3,049.79

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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.