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Finding the Fourth Proportional to 11,963.68, 17,937.76 and 5,724.80

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Solution

The fourth proportional to 11,963.68, 17,937.76 and 5,724.80 is: 8,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.68 : 17,937.76 = 5,724.80 : x
  2. Step 2: Convert to fraction form
    11,963.68/17,937.76 = 5,724.80/x
  3. Step 3: Cross multiply
    11,963.68x = 17,937.76 × 5,724.80
  4. Step 4: Simplify right side
    11,963.68x = 102,690,088.45
  5. Step 5: Solve for x
    x = 102,690,088.45/11,963.68
  6. Step 6: Final answer
    x = 8,583.49

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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.