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Finding the Fourth Proportional to 8,594.25, 12,891.38 and 2,438.25

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Solution

The fourth proportional to 8,594.25, 12,891.38 and 2,438.25 is: 3,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.25 : 12,891.38 = 2,438.25 : x
  2. Step 2: Convert to fraction form
    8,594.25/12,891.38 = 2,438.25/x
  3. Step 3: Cross multiply
    8,594.25x = 12,891.38 × 2,438.25
  4. Step 4: Simplify right side
    8,594.25x = 31,432,395.09
  5. Step 5: Solve for x
    x = 31,432,395.09/8,594.25
  6. Step 6: Final answer
    x = 3,657.38

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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.