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Finding the Fourth Proportional to 27,468.25, 41,198.69 and 7,748.39

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Solution

The fourth proportional to 27,468.25, 41,198.69 and 7,748.39 is: 11,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.25 : 41,198.69 = 7,748.39 : x
  2. Step 2: Convert to fraction form
    27,468.25/41,198.69 = 7,748.39/x
  3. Step 3: Cross multiply
    27,468.25x = 41,198.69 × 7,748.39
  4. Step 4: Simplify right side
    27,468.25x = 319,223,639.98
  5. Step 5: Solve for x
    x = 319,223,639.98/27,468.25
  6. Step 6: Final answer
    x = 11,621.55

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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.