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Finding the Fourth Proportional to 22,442.78, 33,670.79 and 6,648.25

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Solution

The fourth proportional to 22,442.78, 33,670.79 and 6,648.25 is: 9,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.78 : 33,670.79 = 6,648.25 : x
  2. Step 2: Convert to fraction form
    22,442.78/33,670.79 = 6,648.25/x
  3. Step 3: Cross multiply
    22,442.78x = 33,670.79 × 6,648.25
  4. Step 4: Simplify right side
    22,442.78x = 223,851,829.62
  5. Step 5: Solve for x
    x = 223,851,829.62/22,442.78
  6. Step 6: Final answer
    x = 9,974.34

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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.