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Finding the Fourth Proportional to 15,993.50, 22,072.12 and 8,919.86

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Solution

The fourth proportional to 15,993.50, 22,072.12 and 8,919.86 is: 12,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.50 : 22,072.12 = 8,919.86 : x
  2. Step 2: Convert to fraction form
    15,993.50/22,072.12 = 8,919.86/x
  3. Step 3: Cross multiply
    15,993.50x = 22,072.12 × 8,919.86
  4. Step 4: Simplify right side
    15,993.50x = 196,880,087.64
  5. Step 5: Solve for x
    x = 196,880,087.64/15,993.50
  6. Step 6: Final answer
    x = 12,310.01

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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.