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Finding the Fourth Proportional to 6,843.22, 10,256.63 and 2,680.63

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Solution

The fourth proportional to 6,843.22, 10,256.63 and 2,680.63 is: 4,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.22 : 10,256.63 = 2,680.63 : x
  2. Step 2: Convert to fraction form
    6,843.22/10,256.63 = 2,680.63/x
  3. Step 3: Cross multiply
    6,843.22x = 10,256.63 × 2,680.63
  4. Step 4: Simplify right side
    6,843.22x = 27,494,191.03
  5. Step 5: Solve for x
    x = 27,494,191.03/6,843.22
  6. Step 6: Final answer
    x = 4,017.73

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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.