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Finding the Fourth Proportional to 11,523.90, 17,286.93 and 9,553.98

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Solution

The fourth proportional to 11,523.90, 17,286.93 and 9,553.98 is: 14,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.90 : 17,286.93 = 9,553.98 : x
  2. Step 2: Convert to fraction form
    11,523.90/17,286.93 = 9,553.98/x
  3. Step 3: Cross multiply
    11,523.90x = 17,286.93 × 9,553.98
  4. Step 4: Simplify right side
    11,523.90x = 165,158,983.48
  5. Step 5: Solve for x
    x = 165,158,983.48/11,523.90
  6. Step 6: Final answer
    x = 14,331.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.