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Finding the Fourth Proportional to 5,956.50, 8,219.97 and 5,212.92

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Solution

The fourth proportional to 5,956.50, 8,219.97 and 5,212.92 is: 7,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.50 : 8,219.97 = 5,212.92 : x
  2. Step 2: Convert to fraction form
    5,956.50/8,219.97 = 5,212.92/x
  3. Step 3: Cross multiply
    5,956.50x = 8,219.97 × 5,212.92
  4. Step 4: Simplify right side
    5,956.50x = 42,850,046.01
  5. Step 5: Solve for x
    x = 42,850,046.01/5,956.50
  6. Step 6: Final answer
    x = 7,193.83

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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.