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Finding the Fourth Proportional to 27,757.92, 41,626.02 and 9,033.40

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Solution

The fourth proportional to 27,757.92, 41,626.02 and 9,033.40 is: 13,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.92 : 41,626.02 = 9,033.40 : x
  2. Step 2: Convert to fraction form
    27,757.92/41,626.02 = 9,033.40/x
  3. Step 3: Cross multiply
    27,757.92x = 41,626.02 × 9,033.40
  4. Step 4: Simplify right side
    27,757.92x = 376,024,489.07
  5. Step 5: Solve for x
    x = 376,024,489.07/27,757.92
  6. Step 6: Final answer
    x = 13,546.57

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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.