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Finding the Fourth Proportional to 6,449.73, 9,662.13 and 4,251.84

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Solution

The fourth proportional to 6,449.73, 9,662.13 and 4,251.84 is: 6,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.73 : 9,662.13 = 4,251.84 : x
  2. Step 2: Convert to fraction form
    6,449.73/9,662.13 = 4,251.84/x
  3. Step 3: Cross multiply
    6,449.73x = 9,662.13 × 4,251.84
  4. Step 4: Simplify right side
    6,449.73x = 41,081,830.82
  5. Step 5: Solve for x
    x = 41,081,830.82/6,449.73
  6. Step 6: Final answer
    x = 6,369.54

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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.