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Finding the Fourth Proportional to 6,833.92, 10,244.40 and 3,367.12

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Solution

The fourth proportional to 6,833.92, 10,244.40 and 3,367.12 is: 5,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.92 : 10,244.40 = 3,367.12 : x
  2. Step 2: Convert to fraction form
    6,833.92/10,244.40 = 3,367.12/x
  3. Step 3: Cross multiply
    6,833.92x = 10,244.40 × 3,367.12
  4. Step 4: Simplify right side
    6,833.92x = 34,494,124.13
  5. Step 5: Solve for x
    x = 34,494,124.13/6,833.92
  6. Step 6: Final answer
    x = 5,047.49

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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.