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Finding the Fourth Proportional to 11,893.16, 16,375.22 and 10,096.92

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Solution

The fourth proportional to 11,893.16, 16,375.22 and 10,096.92 is: 13,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.16 : 16,375.22 = 10,096.92 : x
  2. Step 2: Convert to fraction form
    11,893.16/16,375.22 = 10,096.92/x
  3. Step 3: Cross multiply
    11,893.16x = 16,375.22 × 10,096.92
  4. Step 4: Simplify right side
    11,893.16x = 165,339,235.84
  5. Step 5: Solve for x
    x = 165,339,235.84/11,893.16
  6. Step 6: Final answer
    x = 13,902.05

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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.