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Finding the Fourth Proportional to 5,474.72, 8,212.44 and 1,965.44

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Solution

The fourth proportional to 5,474.72, 8,212.44 and 1,965.44 is: 2,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.72 : 8,212.44 = 1,965.44 : x
  2. Step 2: Convert to fraction form
    5,474.72/8,212.44 = 1,965.44/x
  3. Step 3: Cross multiply
    5,474.72x = 8,212.44 × 1,965.44
  4. Step 4: Simplify right side
    5,474.72x = 16,141,058.07
  5. Step 5: Solve for x
    x = 16,141,058.07/5,474.72
  6. Step 6: Final answer
    x = 2,948.29

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1.5x scale

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.