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Finding the Fourth Proportional to 27,941.62, 41,889.84 and 9,209.97

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Solution

The fourth proportional to 27,941.62, 41,889.84 and 9,209.97 is: 13,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.62 : 41,889.84 = 9,209.97 : x
  2. Step 2: Convert to fraction form
    27,941.62/41,889.84 = 9,209.97/x
  3. Step 3: Cross multiply
    27,941.62x = 41,889.84 × 9,209.97
  4. Step 4: Simplify right side
    27,941.62x = 385,804,169.70
  5. Step 5: Solve for x
    x = 385,804,169.70/27,941.62
  6. Step 6: Final answer
    x = 13,807.51

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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.