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Finding the Fourth Proportional to 22,638.16, 33,957.25 and 7,847.09

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Solution

The fourth proportional to 22,638.16, 33,957.25 and 7,847.09 is: 11,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.16 : 33,957.25 = 7,847.09 : x
  2. Step 2: Convert to fraction form
    22,638.16/33,957.25 = 7,847.09/x
  3. Step 3: Cross multiply
    22,638.16x = 33,957.25 × 7,847.09
  4. Step 4: Simplify right side
    22,638.16x = 266,465,427.12
  5. Step 5: Solve for x
    x = 266,465,427.12/22,638.16
  6. Step 6: Final answer
    x = 11,770.63

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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.