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Finding the Fourth Proportional to 5,559.72, 8,371.97 and 4,109

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Solution

The fourth proportional to 5,559.72, 8,371.97 and 4,109 is: 6,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559.72 : 8,371.97 = 4,109 : x
  2. Step 2: Convert to fraction form
    5,559.72/8,371.97 = 4,109/x
  3. Step 3: Cross multiply
    5,559.72x = 8,371.97 × 4,109
  4. Step 4: Simplify right side
    5,559.72x = 34,400,424.73
  5. Step 5: Solve for x
    x = 34,400,424.73/5,559.72
  6. Step 6: Final answer
    x = 6,187.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.