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Finding the Fourth Proportional to 12,194.16, 18,274.84 and 8,891.80

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Solution

The fourth proportional to 12,194.16, 18,274.84 and 8,891.80 is: 13,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.16 : 18,274.84 = 8,891.80 : x
  2. Step 2: Convert to fraction form
    12,194.16/18,274.84 = 8,891.80/x
  3. Step 3: Cross multiply
    12,194.16x = 18,274.84 × 8,891.80
  4. Step 4: Simplify right side
    12,194.16x = 162,496,222.31
  5. Step 5: Solve for x
    x = 162,496,222.31/12,194.16
  6. Step 6: Final answer
    x = 13,325.74

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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.