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Finding the Fourth Proportional to 6,205.73, 8,563.67 and 3,553.39

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Solution

The fourth proportional to 6,205.73, 8,563.67 and 3,553.39 is: 4,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.73 : 8,563.67 = 3,553.39 : x
  2. Step 2: Convert to fraction form
    6,205.73/8,563.67 = 3,553.39/x
  3. Step 3: Cross multiply
    6,205.73x = 8,563.67 × 3,553.39
  4. Step 4: Simplify right side
    6,205.73x = 30,430,016.52
  5. Step 5: Solve for x
    x = 30,430,016.52/6,205.73
  6. Step 6: Final answer
    x = 4,903.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.