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Finding the Fourth Proportional to 6,798.24, 10,197.96 and 2,902.68

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Solution

The fourth proportional to 6,798.24, 10,197.96 and 2,902.68 is: 4,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.24 : 10,197.96 = 2,902.68 : x
  2. Step 2: Convert to fraction form
    6,798.24/10,197.96 = 2,902.68/x
  3. Step 3: Cross multiply
    6,798.24x = 10,197.96 × 2,902.68
  4. Step 4: Simplify right side
    6,798.24x = 29,601,414.53
  5. Step 5: Solve for x
    x = 29,601,414.53/6,798.24
  6. Step 6: Final answer
    x = 4,354.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.