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Finding the Fourth Proportional to 8,540.97, 12,802.68 and 3,274.56

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Solution

The fourth proportional to 8,540.97, 12,802.68 and 3,274.56 is: 4,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.97 : 12,802.68 = 3,274.56 : x
  2. Step 2: Convert to fraction form
    8,540.97/12,802.68 = 3,274.56/x
  3. Step 3: Cross multiply
    8,540.97x = 12,802.68 × 3,274.56
  4. Step 4: Simplify right side
    8,540.97x = 41,923,143.82
  5. Step 5: Solve for x
    x = 41,923,143.82/8,540.97
  6. Step 6: Final answer
    x = 4,908.48

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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.