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Finding the Fourth Proportional to 6,874.13, 9,471.65 and 4,632.11

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Solution

The fourth proportional to 6,874.13, 9,471.65 and 4,632.11 is: 6,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.13 : 9,471.65 = 4,632.11 : x
  2. Step 2: Convert to fraction form
    6,874.13/9,471.65 = 4,632.11/x
  3. Step 3: Cross multiply
    6,874.13x = 9,471.65 × 4,632.11
  4. Step 4: Simplify right side
    6,874.13x = 43,873,722.83
  5. Step 5: Solve for x
    x = 43,873,722.83/6,874.13
  6. Step 6: Final answer
    x = 6,382.44

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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.