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Finding the Fourth Proportional to 8,993.74, 12,409.78 and 5,217.24

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Solution

The fourth proportional to 8,993.74, 12,409.78 and 5,217.24 is: 7,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.74 : 12,409.78 = 5,217.24 : x
  2. Step 2: Convert to fraction form
    8,993.74/12,409.78 = 5,217.24/x
  3. Step 3: Cross multiply
    8,993.74x = 12,409.78 × 5,217.24
  4. Step 4: Simplify right side
    8,993.74x = 64,744,800.61
  5. Step 5: Solve for x
    x = 64,744,800.61/8,993.74
  6. Step 6: Final answer
    x = 7,198.87

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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.