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Finding the Fourth Proportional to 11,793.92, 16,272 and 6,824.96

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Solution

The fourth proportional to 11,793.92, 16,272 and 6,824.96 is: 9,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.92 : 16,272 = 6,824.96 : x
  2. Step 2: Convert to fraction form
    11,793.92/16,272 = 6,824.96/x
  3. Step 3: Cross multiply
    11,793.92x = 16,272 × 6,824.96
  4. Step 4: Simplify right side
    11,793.92x = 111,055,749.12
  5. Step 5: Solve for x
    x = 111,055,749.12/11,793.92
  6. Step 6: Final answer
    x = 9,416.36

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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.