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Finding the Fourth Proportional to 11,967.68, 17,943.76 and 5,728.80

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Solution

The fourth proportional to 11,967.68, 17,943.76 and 5,728.80 is: 8,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.68 : 17,943.76 = 5,728.80 : x
  2. Step 2: Convert to fraction form
    11,967.68/17,943.76 = 5,728.80/x
  3. Step 3: Cross multiply
    11,967.68x = 17,943.76 × 5,728.80
  4. Step 4: Simplify right side
    11,967.68x = 102,796,212.29
  5. Step 5: Solve for x
    x = 102,796,212.29/11,967.68
  6. Step 6: Final answer
    x = 8,589.49

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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.