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Finding the Fourth Proportional to 6,257.71, 8,634.41 and 3,568.86

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Solution

The fourth proportional to 6,257.71, 8,634.41 and 3,568.86 is: 4,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.71 : 8,634.41 = 3,568.86 : x
  2. Step 2: Convert to fraction form
    6,257.71/8,634.41 = 3,568.86/x
  3. Step 3: Cross multiply
    6,257.71x = 8,634.41 × 3,568.86
  4. Step 4: Simplify right side
    6,257.71x = 30,815,016.09
  5. Step 5: Solve for x
    x = 30,815,016.09/6,257.71
  6. Step 6: Final answer
    x = 4,924.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.