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Finding the Fourth Proportional to 11,593.60, 16,010.49 and 8,017.72

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Solution

The fourth proportional to 11,593.60, 16,010.49 and 8,017.72 is: 11,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.60 : 16,010.49 = 8,017.72 : x
  2. Step 2: Convert to fraction form
    11,593.60/16,010.49 = 8,017.72/x
  3. Step 3: Cross multiply
    11,593.60x = 16,010.49 × 8,017.72
  4. Step 4: Simplify right side
    11,593.60x = 128,367,625.88
  5. Step 5: Solve for x
    x = 128,367,625.88/11,593.60
  6. Step 6: Final answer
    x = 11,072.28

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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.