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Finding the Fourth Proportional to 7,684.80, 11,524.16 and 2,754.56

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Solution

The fourth proportional to 7,684.80, 11,524.16 and 2,754.56 is: 4,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.80 : 11,524.16 = 2,754.56 : x
  2. Step 2: Convert to fraction form
    7,684.80/11,524.16 = 2,754.56/x
  3. Step 3: Cross multiply
    7,684.80x = 11,524.16 × 2,754.56
  4. Step 4: Simplify right side
    7,684.80x = 31,743,990.17
  5. Step 5: Solve for x
    x = 31,743,990.17/7,684.80
  6. Step 6: Final answer
    x = 4,130.75

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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.