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Finding the Fourth Proportional to 6,797.67, 10,192.46 and 2,353.88

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Solution

The fourth proportional to 6,797.67, 10,192.46 and 2,353.88 is: 3,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.67 : 10,192.46 = 2,353.88 : x
  2. Step 2: Convert to fraction form
    6,797.67/10,192.46 = 2,353.88/x
  3. Step 3: Cross multiply
    6,797.67x = 10,192.46 × 2,353.88
  4. Step 4: Simplify right side
    6,797.67x = 23,991,765.01
  5. Step 5: Solve for x
    x = 23,991,765.01/6,797.67
  6. Step 6: Final answer
    x = 3,529.41

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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.