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Finding the Fourth Proportional to 8,407.44, 12,611.74 and 2,568.14

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Solution

The fourth proportional to 8,407.44, 12,611.74 and 2,568.14 is: 3,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.44 : 12,611.74 = 2,568.14 : x
  2. Step 2: Convert to fraction form
    8,407.44/12,611.74 = 2,568.14/x
  3. Step 3: Cross multiply
    8,407.44x = 12,611.74 × 2,568.14
  4. Step 4: Simplify right side
    8,407.44x = 32,388,713.96
  5. Step 5: Solve for x
    x = 32,388,713.96/8,407.44
  6. Step 6: Final answer
    x = 3,852.39

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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.