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Finding the Fourth Proportional to 7,734.62, 11,599.81 and 3,783.85

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Solution

The fourth proportional to 7,734.62, 11,599.81 and 3,783.85 is: 5,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.62 : 11,599.81 = 3,783.85 : x
  2. Step 2: Convert to fraction form
    7,734.62/11,599.81 = 3,783.85/x
  3. Step 3: Cross multiply
    7,734.62x = 11,599.81 × 3,783.85
  4. Step 4: Simplify right side
    7,734.62x = 43,891,902.61
  5. Step 5: Solve for x
    x = 43,891,902.61/7,734.62
  6. Step 6: Final answer
    x = 5,674.73

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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.