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Finding the Fourth Proportional to 18,114.94, 27,180.22 and 9,800.80

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Solution

The fourth proportional to 18,114.94, 27,180.22 and 9,800.80 is: 14,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.94 : 27,180.22 = 9,800.80 : x
  2. Step 2: Convert to fraction form
    18,114.94/27,180.22 = 9,800.80/x
  3. Step 3: Cross multiply
    18,114.94x = 27,180.22 × 9,800.80
  4. Step 4: Simplify right side
    18,114.94x = 266,387,900.18
  5. Step 5: Solve for x
    x = 266,387,900.18/18,114.94
  6. Step 6: Final answer
    x = 14,705.43

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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.