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Finding the Fourth Proportional to 13,914.27, 20,843.57 and 8,364.56

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Solution

The fourth proportional to 13,914.27, 20,843.57 and 8,364.56 is: 12,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.27 : 20,843.57 = 8,364.56 : x
  2. Step 2: Convert to fraction form
    13,914.27/20,843.57 = 8,364.56/x
  3. Step 3: Cross multiply
    13,914.27x = 20,843.57 × 8,364.56
  4. Step 4: Simplify right side
    13,914.27x = 174,347,208.57
  5. Step 5: Solve for x
    x = 174,347,208.57/13,914.27
  6. Step 6: Final answer
    x = 12,530.10

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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.