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Finding the Fourth Proportional to 14,657.60, 20,227.38 and 7,943.24

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Solution

The fourth proportional to 14,657.60, 20,227.38 and 7,943.24 is: 10,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.60 : 20,227.38 = 7,943.24 : x
  2. Step 2: Convert to fraction form
    14,657.60/20,227.38 = 7,943.24/x
  3. Step 3: Cross multiply
    14,657.60x = 20,227.38 × 7,943.24
  4. Step 4: Simplify right side
    14,657.60x = 160,670,933.91
  5. Step 5: Solve for x
    x = 160,670,933.91/14,657.60
  6. Step 6: Final answer
    x = 10,961.61

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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.