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Finding the Fourth Proportional to 7,684.92, 11,527.84 and 2,754.44

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Solution

The fourth proportional to 7,684.92, 11,527.84 and 2,754.44 is: 4,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.92 : 11,527.84 = 2,754.44 : x
  2. Step 2: Convert to fraction form
    7,684.92/11,527.84 = 2,754.44/x
  3. Step 3: Cross multiply
    7,684.92x = 11,527.84 × 2,754.44
  4. Step 4: Simplify right side
    7,684.92x = 31,752,743.61
  5. Step 5: Solve for x
    x = 31,752,743.61/7,684.92
  6. Step 6: Final answer
    x = 4,131.82

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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.