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Finding the Fourth Proportional to 12,141.70, 18,213.15 and 6,309.70

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Solution

The fourth proportional to 12,141.70, 18,213.15 and 6,309.70 is: 9,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.70 : 18,213.15 = 6,309.70 : x
  2. Step 2: Convert to fraction form
    12,141.70/18,213.15 = 6,309.70/x
  3. Step 3: Cross multiply
    12,141.70x = 18,213.15 × 6,309.70
  4. Step 4: Simplify right side
    12,141.70x = 114,919,512.56
  5. Step 5: Solve for x
    x = 114,919,512.56/12,141.70
  6. Step 6: Final answer
    x = 9,464.86

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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.