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Finding the Fourth Proportional to 11,662.77, 16,098.09 and 11,067.53

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Solution

The fourth proportional to 11,662.77, 16,098.09 and 11,067.53 is: 15,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.77 : 16,098.09 = 11,067.53 : x
  2. Step 2: Convert to fraction form
    11,662.77/16,098.09 = 11,067.53/x
  3. Step 3: Cross multiply
    11,662.77x = 16,098.09 × 11,067.53
  4. Step 4: Simplify right side
    11,662.77x = 178,166,013.53
  5. Step 5: Solve for x
    x = 178,166,013.53/11,662.77
  6. Step 6: Final answer
    x = 15,276.47

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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.