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Finding the Fourth Proportional to 6,474.41, 9,721.34 and 3,704.21

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Solution

The fourth proportional to 6,474.41, 9,721.34 and 3,704.21 is: 5,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.41 : 9,721.34 = 3,704.21 : x
  2. Step 2: Convert to fraction form
    6,474.41/9,721.34 = 3,704.21/x
  3. Step 3: Cross multiply
    6,474.41x = 9,721.34 × 3,704.21
  4. Step 4: Simplify right side
    6,474.41x = 36,009,884.84
  5. Step 5: Solve for x
    x = 36,009,884.84/6,474.41
  6. Step 6: Final answer
    x = 5,561.88

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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.