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Finding the Fourth Proportional to 6,793.50, 10,192.23 and 2,898.30

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Solution

The fourth proportional to 6,793.50, 10,192.23 and 2,898.30 is: 4,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,793.50 : 10,192.23 = 2,898.30 : x
  2. Step 2: Convert to fraction form
    6,793.50/10,192.23 = 2,898.30/x
  3. Step 3: Cross multiply
    6,793.50x = 10,192.23 × 2,898.30
  4. Step 4: Simplify right side
    6,793.50x = 29,540,140.21
  5. Step 5: Solve for x
    x = 29,540,140.21/6,793.50
  6. Step 6: Final answer
    x = 4,348.29

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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.