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Finding the Fourth Proportional to 6,471.36, 9,692 and 3,174.24

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Solution

The fourth proportional to 6,471.36, 9,692 and 3,174.24 is: 4,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.36 : 9,692 = 3,174.24 : x
  2. Step 2: Convert to fraction form
    6,471.36/9,692 = 3,174.24/x
  3. Step 3: Cross multiply
    6,471.36x = 9,692 × 3,174.24
  4. Step 4: Simplify right side
    6,471.36x = 30,764,734.08
  5. Step 5: Solve for x
    x = 30,764,734.08/6,471.36
  6. Step 6: Final answer
    x = 4,753.98

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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.