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Finding the Fourth Proportional to 6,474.28, 9,710.64 and 1,794.64

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Solution

The fourth proportional to 6,474.28, 9,710.64 and 1,794.64 is: 2,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.28 : 9,710.64 = 1,794.64 : x
  2. Step 2: Convert to fraction form
    6,474.28/9,710.64 = 1,794.64/x
  3. Step 3: Cross multiply
    6,474.28x = 9,710.64 × 1,794.64
  4. Step 4: Simplify right side
    6,474.28x = 17,427,102.97
  5. Step 5: Solve for x
    x = 17,427,102.97/6,474.28
  6. Step 6: Final answer
    x = 2,691.74

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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.