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Finding the Fourth Proportional to 15,077.78, 20,809.82 and 8,365.56

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Solution

The fourth proportional to 15,077.78, 20,809.82 and 8,365.56 is: 11,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.78 : 20,809.82 = 8,365.56 : x
  2. Step 2: Convert to fraction form
    15,077.78/20,809.82 = 8,365.56/x
  3. Step 3: Cross multiply
    15,077.78x = 20,809.82 × 8,365.56
  4. Step 4: Simplify right side
    15,077.78x = 174,085,797.80
  5. Step 5: Solve for x
    x = 174,085,797.80/15,077.78
  6. Step 6: Final answer
    x = 11,545.85

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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.