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Finding the Fourth Proportional to 6,474.78, 9,712.01 and 3,694.46

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Solution

The fourth proportional to 6,474.78, 9,712.01 and 3,694.46 is: 5,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.78 : 9,712.01 = 3,694.46 : x
  2. Step 2: Convert to fraction form
    6,474.78/9,712.01 = 3,694.46/x
  3. Step 3: Cross multiply
    6,474.78x = 9,712.01 × 3,694.46
  4. Step 4: Simplify right side
    6,474.78x = 35,880,593.14
  5. Step 5: Solve for x
    x = 35,880,593.14/6,474.78
  6. Step 6: Final answer
    x = 5,541.59

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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.