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Finding the Fourth Proportional to 8,974.67, 12,384.84 and 5,198.51

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Solution

The fourth proportional to 8,974.67, 12,384.84 and 5,198.51 is: 7,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.67 : 12,384.84 = 5,198.51 : x
  2. Step 2: Convert to fraction form
    8,974.67/12,384.84 = 5,198.51/x
  3. Step 3: Cross multiply
    8,974.67x = 12,384.84 × 5,198.51
  4. Step 4: Simplify right side
    8,974.67x = 64,382,765.04
  5. Step 5: Solve for x
    x = 64,382,765.04/8,974.67
  6. Step 6: Final answer
    x = 7,173.83

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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.