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Finding the Fourth Proportional to 22,202.21, 33,302.84 and 7,209.31

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Solution

The fourth proportional to 22,202.21, 33,302.84 and 7,209.31 is: 10,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,202.21 : 33,302.84 = 7,209.31 : x
  2. Step 2: Convert to fraction form
    22,202.21/33,302.84 = 7,209.31/x
  3. Step 3: Cross multiply
    22,202.21x = 33,302.84 × 7,209.31
  4. Step 4: Simplify right side
    22,202.21x = 240,090,481.13
  5. Step 5: Solve for x
    x = 240,090,481.13/22,202.21
  6. Step 6: Final answer
    x = 10,813.81

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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.