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Finding the Fourth Proportional to 6,843.44, 10,263 and 4,342.88

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Solution

The fourth proportional to 6,843.44, 10,263 and 4,342.88 is: 6,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.44 : 10,263 = 4,342.88 : x
  2. Step 2: Convert to fraction form
    6,843.44/10,263 = 4,342.88/x
  3. Step 3: Cross multiply
    6,843.44x = 10,263 × 4,342.88
  4. Step 4: Simplify right side
    6,843.44x = 44,570,977.44
  5. Step 5: Solve for x
    x = 44,570,977.44/6,843.44
  6. Step 6: Final answer
    x = 6,512.95

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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.