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Finding the Fourth Proportional to 11,202.44, 16,784.16 and 7,863.60

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Solution

The fourth proportional to 11,202.44, 16,784.16 and 7,863.60 is: 11,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.44 : 16,784.16 = 7,863.60 : x
  2. Step 2: Convert to fraction form
    11,202.44/16,784.16 = 7,863.60/x
  3. Step 3: Cross multiply
    11,202.44x = 16,784.16 × 7,863.60
  4. Step 4: Simplify right side
    11,202.44x = 131,983,920.58
  5. Step 5: Solve for x
    x = 131,983,920.58/11,202.44
  6. Step 6: Final answer
    x = 11,781.71

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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.