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Finding the Fourth Proportional to 14,657.43, 20,227.20 and 7,943.22

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Solution

The fourth proportional to 14,657.43, 20,227.20 and 7,943.22 is: 10,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.43 : 20,227.20 = 7,943.22 : x
  2. Step 2: Convert to fraction form
    14,657.43/20,227.20 = 7,943.22/x
  3. Step 3: Cross multiply
    14,657.43x = 20,227.20 × 7,943.22
  4. Step 4: Simplify right side
    14,657.43x = 160,669,099.58
  5. Step 5: Solve for x
    x = 160,669,099.58/14,657.43
  6. Step 6: Final answer
    x = 10,961.62

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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.