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Finding the Fourth Proportional to 11,221.60, 16,782.96 and 8,269.60

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Solution

The fourth proportional to 11,221.60, 16,782.96 and 8,269.60 is: 12,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.60 : 16,782.96 = 8,269.60 : x
  2. Step 2: Convert to fraction form
    11,221.60/16,782.96 = 8,269.60/x
  3. Step 3: Cross multiply
    11,221.60x = 16,782.96 × 8,269.60
  4. Step 4: Simplify right side
    11,221.60x = 138,788,366.02
  5. Step 5: Solve for x
    x = 138,788,366.02/11,221.60
  6. Step 6: Final answer
    x = 12,367.97

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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.