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Finding the Fourth Proportional to 6,846, 10,267.92 and 3,148.08

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Solution

The fourth proportional to 6,846, 10,267.92 and 3,148.08 is: 4,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846 : 10,267.92 = 3,148.08 : x
  2. Step 2: Convert to fraction form
    6,846/10,267.92 = 3,148.08/x
  3. Step 3: Cross multiply
    6,846x = 10,267.92 × 3,148.08
  4. Step 4: Simplify right side
    6,846x = 32,324,233.59
  5. Step 5: Solve for x
    x = 32,324,233.59/6,846
  6. Step 6: Final answer
    x = 4,721.62

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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.