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Finding the Fourth Proportional to 8,142.44, 12,213.90 and 2,298.44

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Solution

The fourth proportional to 8,142.44, 12,213.90 and 2,298.44 is: 3,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.44 : 12,213.90 = 2,298.44 : x
  2. Step 2: Convert to fraction form
    8,142.44/12,213.90 = 2,298.44/x
  3. Step 3: Cross multiply
    8,142.44x = 12,213.90 × 2,298.44
  4. Step 4: Simplify right side
    8,142.44x = 28,072,916.32
  5. Step 5: Solve for x
    x = 28,072,916.32/8,142.44
  6. Step 6: Final answer
    x = 3,447.73

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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.