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Finding the Fourth Proportional to 13,906.19, 20,806.96 and 9,754.30

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Solution

The fourth proportional to 13,906.19, 20,806.96 and 9,754.30 is: 14,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.19 : 20,806.96 = 9,754.30 : x
  2. Step 2: Convert to fraction form
    13,906.19/20,806.96 = 9,754.30/x
  3. Step 3: Cross multiply
    13,906.19x = 20,806.96 × 9,754.30
  4. Step 4: Simplify right side
    13,906.19x = 202,957,329.93
  5. Step 5: Solve for x
    x = 202,957,329.93/13,906.19
  6. Step 6: Final answer
    x = 14,594.75

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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.