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Finding the Fourth Proportional to 11,662.17, 16,093.68 and 6,356.88

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Solution

The fourth proportional to 11,662.17, 16,093.68 and 6,356.88 is: 8,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.17 : 16,093.68 = 6,356.88 : x
  2. Step 2: Convert to fraction form
    11,662.17/16,093.68 = 6,356.88/x
  3. Step 3: Cross multiply
    11,662.17x = 16,093.68 × 6,356.88
  4. Step 4: Simplify right side
    11,662.17x = 102,305,508.33
  5. Step 5: Solve for x
    x = 102,305,508.33/11,662.17
  6. Step 6: Final answer
    x = 8,772.42

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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.