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Finding the Fourth Proportional to 3,972.06, 5,956.16 and 1,198.22

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Solution

The fourth proportional to 3,972.06, 5,956.16 and 1,198.22 is: 1,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.06 : 5,956.16 = 1,198.22 : x
  2. Step 2: Convert to fraction form
    3,972.06/5,956.16 = 1,198.22/x
  3. Step 3: Cross multiply
    3,972.06x = 5,956.16 × 1,198.22
  4. Step 4: Simplify right side
    3,972.06x = 7,136,754.26
  5. Step 5: Solve for x
    x = 7,136,754.26/3,972.06
  6. Step 6: Final answer
    x = 1,796.74

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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.