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Finding the Fourth Proportional to 8,974.57, 12,384.01 and 5,198.95

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Solution

The fourth proportional to 8,974.57, 12,384.01 and 5,198.95 is: 7,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.57 : 12,384.01 = 5,198.95 : x
  2. Step 2: Convert to fraction form
    8,974.57/12,384.01 = 5,198.95/x
  3. Step 3: Cross multiply
    8,974.57x = 12,384.01 × 5,198.95
  4. Step 4: Simplify right side
    8,974.57x = 64,383,800.25
  5. Step 5: Solve for x
    x = 64,383,800.25/8,974.57
  6. Step 6: Final answer
    x = 7,174.03

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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.