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Finding the Fourth Proportional to 4,469.73, 6,696.54 and 4,206.24

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Solution

The fourth proportional to 4,469.73, 6,696.54 and 4,206.24 is: 6,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.73 : 6,696.54 = 4,206.24 : x
  2. Step 2: Convert to fraction form
    4,469.73/6,696.54 = 4,206.24/x
  3. Step 3: Cross multiply
    4,469.73x = 6,696.54 × 4,206.24
  4. Step 4: Simplify right side
    4,469.73x = 28,167,254.41
  5. Step 5: Solve for x
    x = 28,167,254.41/4,469.73
  6. Step 6: Final answer
    x = 6,301.78

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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.