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Finding the Fourth Proportional to 22,647.82, 33,972.04 and 6,852.97

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Solution

The fourth proportional to 22,647.82, 33,972.04 and 6,852.97 is: 10,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.82 : 33,972.04 = 6,852.97 : x
  2. Step 2: Convert to fraction form
    22,647.82/33,972.04 = 6,852.97/x
  3. Step 3: Cross multiply
    22,647.82x = 33,972.04 × 6,852.97
  4. Step 4: Simplify right side
    22,647.82x = 232,809,421.99
  5. Step 5: Solve for x
    x = 232,809,421.99/22,647.82
  6. Step 6: Final answer
    x = 10,279.55

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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.