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Finding the Fourth Proportional to 22,241.31, 33,362.37 and 7,447.47

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Solution

The fourth proportional to 22,241.31, 33,362.37 and 7,447.47 is: 11,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.31 : 33,362.37 = 7,447.47 : x
  2. Step 2: Convert to fraction form
    22,241.31/33,362.37 = 7,447.47/x
  3. Step 3: Cross multiply
    22,241.31x = 33,362.37 × 7,447.47
  4. Step 4: Simplify right side
    22,241.31x = 248,465,249.70
  5. Step 5: Solve for x
    x = 248,465,249.70/22,241.31
  6. Step 6: Final answer
    x = 11,171.34

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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.