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Finding the Fourth Proportional to 13,834.75, 19,091.97 and 8,245.75

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Solution

The fourth proportional to 13,834.75, 19,091.97 and 8,245.75 is: 11,379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.75 : 19,091.97 = 8,245.75 : x
  2. Step 2: Convert to fraction form
    13,834.75/19,091.97 = 8,245.75/x
  3. Step 3: Cross multiply
    13,834.75x = 19,091.97 × 8,245.75
  4. Step 4: Simplify right side
    13,834.75x = 157,427,611.63
  5. Step 5: Solve for x
    x = 157,427,611.63/13,834.75
  6. Step 6: Final answer
    x = 11,379.14

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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.