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Finding the Fourth Proportional to 4,774.87, 7,155.03 and 2,306.73

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Solution

The fourth proportional to 4,774.87, 7,155.03 and 2,306.73 is: 3,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.87 : 7,155.03 = 2,306.73 : x
  2. Step 2: Convert to fraction form
    4,774.87/7,155.03 = 2,306.73/x
  3. Step 3: Cross multiply
    4,774.87x = 7,155.03 × 2,306.73
  4. Step 4: Simplify right side
    4,774.87x = 16,504,722.35
  5. Step 5: Solve for x
    x = 16,504,722.35/4,774.87
  6. Step 6: Final answer
    x = 3,456.58

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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.