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Finding the Fourth Proportional to 15,086.92, 20,819 and 9,115.06

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Solution

The fourth proportional to 15,086.92, 20,819 and 9,115.06 is: 12,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.92 : 20,819 = 9,115.06 : x
  2. Step 2: Convert to fraction form
    15,086.92/20,819 = 9,115.06/x
  3. Step 3: Cross multiply
    15,086.92x = 20,819 × 9,115.06
  4. Step 4: Simplify right side
    15,086.92x = 189,766,434.14
  5. Step 5: Solve for x
    x = 189,766,434.14/15,086.92
  6. Step 6: Final answer
    x = 12,578.21

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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.