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Finding the Fourth Proportional to 6,439.08, 9,664.08 and 2,546.22

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Solution

The fourth proportional to 6,439.08, 9,664.08 and 2,546.22 is: 3,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.08 : 9,664.08 = 2,546.22 : x
  2. Step 2: Convert to fraction form
    6,439.08/9,664.08 = 2,546.22/x
  3. Step 3: Cross multiply
    6,439.08x = 9,664.08 × 2,546.22
  4. Step 4: Simplify right side
    6,439.08x = 24,606,873.78
  5. Step 5: Solve for x
    x = 24,606,873.78/6,439.08
  6. Step 6: Final answer
    x = 3,821.49

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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.