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Finding the Fourth Proportional to 6,278.64, 8,664.60 and 3,446.03

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Solution

The fourth proportional to 6,278.64, 8,664.60 and 3,446.03 is: 4,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.64 : 8,664.60 = 3,446.03 : x
  2. Step 2: Convert to fraction form
    6,278.64/8,664.60 = 3,446.03/x
  3. Step 3: Cross multiply
    6,278.64x = 8,664.60 × 3,446.03
  4. Step 4: Simplify right side
    6,278.64x = 29,858,471.54
  5. Step 5: Solve for x
    x = 29,858,471.54/6,278.64
  6. Step 6: Final answer
    x = 4,755.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.