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Finding the Fourth Proportional to 11,760.84, 16,229.16 and 6,724.44

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Solution

The fourth proportional to 11,760.84, 16,229.16 and 6,724.44 is: 9,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.84 : 16,229.16 = 6,724.44 : x
  2. Step 2: Convert to fraction form
    11,760.84/16,229.16 = 6,724.44/x
  3. Step 3: Cross multiply
    11,760.84x = 16,229.16 × 6,724.44
  4. Step 4: Simplify right side
    11,760.84x = 109,132,012.67
  5. Step 5: Solve for x
    x = 109,132,012.67/11,760.84
  6. Step 6: Final answer
    x = 9,279.27

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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.