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Finding the Fourth Proportional to 3,074.67, 4,611.96 and 994.73

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Solution

The fourth proportional to 3,074.67, 4,611.96 and 994.73 is: 1,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.67 : 4,611.96 = 994.73 : x
  2. Step 2: Convert to fraction form
    3,074.67/4,611.96 = 994.73/x
  3. Step 3: Cross multiply
    3,074.67x = 4,611.96 × 994.73
  4. Step 4: Simplify right side
    3,074.67x = 4,587,631.91
  5. Step 5: Solve for x
    x = 4,587,631.91/3,074.67
  6. Step 6: Final answer
    x = 1,492.07

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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.