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Finding the Fourth Proportional to 6,471.68, 8,933.04 and 4,234.96

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Solution

The fourth proportional to 6,471.68, 8,933.04 and 4,234.96 is: 5,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.68 : 8,933.04 = 4,234.96 : x
  2. Step 2: Convert to fraction form
    6,471.68/8,933.04 = 4,234.96/x
  3. Step 3: Cross multiply
    6,471.68x = 8,933.04 × 4,234.96
  4. Step 4: Simplify right side
    6,471.68x = 37,831,067.08
  5. Step 5: Solve for x
    x = 37,831,067.08/6,471.68
  6. Step 6: Final answer
    x = 5,845.63

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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.