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Finding the Fourth Proportional to 17,884.99, 26,832.26 and 6,198.21

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Solution

The fourth proportional to 17,884.99, 26,832.26 and 6,198.21 is: 9,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.99 : 26,832.26 = 6,198.21 : x
  2. Step 2: Convert to fraction form
    17,884.99/26,832.26 = 6,198.21/x
  3. Step 3: Cross multiply
    17,884.99x = 26,832.26 × 6,198.21
  4. Step 4: Simplify right side
    17,884.99x = 166,311,982.25
  5. Step 5: Solve for x
    x = 166,311,982.25/17,884.99
  6. Step 6: Final answer
    x = 9,298.97

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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.