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Finding the Fourth Proportional to 12,202.50, 16,843.41 and 7,166.60

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Solution

The fourth proportional to 12,202.50, 16,843.41 and 7,166.60 is: 9,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.50 : 16,843.41 = 7,166.60 : x
  2. Step 2: Convert to fraction form
    12,202.50/16,843.41 = 7,166.60/x
  3. Step 3: Cross multiply
    12,202.50x = 16,843.41 × 7,166.60
  4. Step 4: Simplify right side
    12,202.50x = 120,709,982.11
  5. Step 5: Solve for x
    x = 120,709,982.11/12,202.50
  6. Step 6: Final answer
    x = 9,892.23

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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.