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Finding the Fourth Proportional to 6,474.64, 9,713.78 and 2,092.46

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Solution

The fourth proportional to 6,474.64, 9,713.78 and 2,092.46 is: 3,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.64 : 9,713.78 = 2,092.46 : x
  2. Step 2: Convert to fraction form
    6,474.64/9,713.78 = 2,092.46/x
  3. Step 3: Cross multiply
    6,474.64x = 9,713.78 × 2,092.46
  4. Step 4: Simplify right side
    6,474.64x = 20,325,696.10
  5. Step 5: Solve for x
    x = 20,325,696.10/6,474.64
  6. Step 6: Final answer
    x = 3,139.28

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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.