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Finding the Fourth Proportional to 6,774.68, 9,352.25 and 5,096.73

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Solution

The fourth proportional to 6,774.68, 9,352.25 and 5,096.73 is: 7,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.68 : 9,352.25 = 5,096.73 : x
  2. Step 2: Convert to fraction form
    6,774.68/9,352.25 = 5,096.73/x
  3. Step 3: Cross multiply
    6,774.68x = 9,352.25 × 5,096.73
  4. Step 4: Simplify right side
    6,774.68x = 47,665,846.38
  5. Step 5: Solve for x
    x = 47,665,846.38/6,774.68
  6. Step 6: Final answer
    x = 7,035.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.