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Finding the Fourth Proportional to 10,797.92, 16,189.84 and 3,400.16

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Solution

The fourth proportional to 10,797.92, 16,189.84 and 3,400.16 is: 5,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.92 : 16,189.84 = 3,400.16 : x
  2. Step 2: Convert to fraction form
    10,797.92/16,189.84 = 3,400.16/x
  3. Step 3: Cross multiply
    10,797.92x = 16,189.84 × 3,400.16
  4. Step 4: Simplify right side
    10,797.92x = 55,048,046.37
  5. Step 5: Solve for x
    x = 55,048,046.37/10,797.92
  6. Step 6: Final answer
    x = 5,098.02

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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.