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Finding the Fourth Proportional to 13,914.01, 20,845.90 and 9,222.90

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Solution

The fourth proportional to 13,914.01, 20,845.90 and 9,222.90 is: 13,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.01 : 20,845.90 = 9,222.90 : x
  2. Step 2: Convert to fraction form
    13,914.01/20,845.90 = 9,222.90/x
  3. Step 3: Cross multiply
    13,914.01x = 20,845.90 × 9,222.90
  4. Step 4: Simplify right side
    13,914.01x = 192,259,651.11
  5. Step 5: Solve for x
    x = 192,259,651.11/13,914.01
  6. Step 6: Final answer
    x = 13,817.70

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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.