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Finding the Fourth Proportional to 6,484.35, 9,731.97 and 3,366.27

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Solution

The fourth proportional to 6,484.35, 9,731.97 and 3,366.27 is: 5,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.35 : 9,731.97 = 3,366.27 : x
  2. Step 2: Convert to fraction form
    6,484.35/9,731.97 = 3,366.27/x
  3. Step 3: Cross multiply
    6,484.35x = 9,731.97 × 3,366.27
  4. Step 4: Simplify right side
    6,484.35x = 32,760,438.65
  5. Step 5: Solve for x
    x = 32,760,438.65/6,484.35
  6. Step 6: Final answer
    x = 5,052.23

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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.