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Finding the Fourth Proportional to 6,205.98, 8,564.25 and 3,553.38

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Solution

The fourth proportional to 6,205.98, 8,564.25 and 3,553.38 is: 4,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.98 : 8,564.25 = 3,553.38 : x
  2. Step 2: Convert to fraction form
    6,205.98/8,564.25 = 3,553.38/x
  3. Step 3: Cross multiply
    6,205.98x = 8,564.25 × 3,553.38
  4. Step 4: Simplify right side
    6,205.98x = 30,432,034.67
  5. Step 5: Solve for x
    x = 30,432,034.67/6,205.98
  6. Step 6: Final answer
    x = 4,903.66

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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.