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Finding the Fourth Proportional to 22,982.64, 34,476.74 and 8,193.05

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Solution

The fourth proportional to 22,982.64, 34,476.74 and 8,193.05 is: 12,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,982.64 : 34,476.74 = 8,193.05 : x
  2. Step 2: Convert to fraction form
    22,982.64/34,476.74 = 8,193.05/x
  3. Step 3: Cross multiply
    22,982.64x = 34,476.74 × 8,193.05
  4. Step 4: Simplify right side
    22,982.64x = 282,469,601.32
  5. Step 5: Solve for x
    x = 282,469,601.32/22,982.64
  6. Step 6: Final answer
    x = 12,290.57

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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.