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Finding the Fourth Proportional to 15,755.92, 21,743.64 and 8,682.80

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Solution

The fourth proportional to 15,755.92, 21,743.64 and 8,682.80 is: 11,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.92 : 21,743.64 = 8,682.80 : x
  2. Step 2: Convert to fraction form
    15,755.92/21,743.64 = 8,682.80/x
  3. Step 3: Cross multiply
    15,755.92x = 21,743.64 × 8,682.80
  4. Step 4: Simplify right side
    15,755.92x = 188,795,677.39
  5. Step 5: Solve for x
    x = 188,795,677.39/15,755.92
  6. Step 6: Final answer
    x = 11,982.52

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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.