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Finding the Fourth Proportional to 11,963.88, 16,503.09 and 8,185.14

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Solution

The fourth proportional to 11,963.88, 16,503.09 and 8,185.14 is: 11,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.88 : 16,503.09 = 8,185.14 : x
  2. Step 2: Convert to fraction form
    11,963.88/16,503.09 = 8,185.14/x
  3. Step 3: Cross multiply
    11,963.88x = 16,503.09 × 8,185.14
  4. Step 4: Simplify right side
    11,963.88x = 135,080,102.08
  5. Step 5: Solve for x
    x = 135,080,102.08/11,963.88
  6. Step 6: Final answer
    x = 11,290.66

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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.