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Finding the Fourth Proportional to 6,441.69, 9,662.46 and 2,546.07

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Solution

The fourth proportional to 6,441.69, 9,662.46 and 2,546.07 is: 3,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.69 : 9,662.46 = 2,546.07 : x
  2. Step 2: Convert to fraction form
    6,441.69/9,662.46 = 2,546.07/x
  3. Step 3: Cross multiply
    6,441.69x = 9,662.46 × 2,546.07
  4. Step 4: Simplify right side
    6,441.69x = 24,601,299.53
  5. Step 5: Solve for x
    x = 24,601,299.53/6,441.69
  6. Step 6: Final answer
    x = 3,819.08

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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.