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Finding the Fourth Proportional to 5,961.61, 8,227.61 and 3,309.49

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Solution

The fourth proportional to 5,961.61, 8,227.61 and 3,309.49 is: 4,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.61 : 8,227.61 = 3,309.49 : x
  2. Step 2: Convert to fraction form
    5,961.61/8,227.61 = 3,309.49/x
  3. Step 3: Cross multiply
    5,961.61x = 8,227.61 × 3,309.49
  4. Step 4: Simplify right side
    5,961.61x = 27,229,193.02
  5. Step 5: Solve for x
    x = 27,229,193.02/5,961.61
  6. Step 6: Final answer
    x = 4,567.42

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1.5x scale

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.