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Finding the Fourth Proportional to 11,993.20, 17,989.80 and 6,809.20

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Solution

The fourth proportional to 11,993.20, 17,989.80 and 6,809.20 is: 10,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.20 : 17,989.80 = 6,809.20 : x
  2. Step 2: Convert to fraction form
    11,993.20/17,989.80 = 6,809.20/x
  3. Step 3: Cross multiply
    11,993.20x = 17,989.80 × 6,809.20
  4. Step 4: Simplify right side
    11,993.20x = 122,496,146.16
  5. Step 5: Solve for x
    x = 122,496,146.16/11,993.20
  6. Step 6: Final answer
    x = 10,213.80

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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.