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Finding the Fourth Proportional to 6,471.91, 8,935.32 and 4,481.74

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Solution

The fourth proportional to 6,471.91, 8,935.32 and 4,481.74 is: 6,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.91 : 8,935.32 = 4,481.74 : x
  2. Step 2: Convert to fraction form
    6,471.91/8,935.32 = 4,481.74/x
  3. Step 3: Cross multiply
    6,471.91x = 8,935.32 × 4,481.74
  4. Step 4: Simplify right side
    6,471.91x = 40,045,781.06
  5. Step 5: Solve for x
    x = 40,045,781.06/6,471.91
  6. Step 6: Final answer
    x = 6,187.63

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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.