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Finding the Fourth Proportional to 6,884.38, 9,511.59 and 4,797.82

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Solution

The fourth proportional to 6,884.38, 9,511.59 and 4,797.82 is: 6,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.38 : 9,511.59 = 4,797.82 : x
  2. Step 2: Convert to fraction form
    6,884.38/9,511.59 = 4,797.82/x
  3. Step 3: Cross multiply
    6,884.38x = 9,511.59 × 4,797.82
  4. Step 4: Simplify right side
    6,884.38x = 45,634,896.73
  5. Step 5: Solve for x
    x = 45,634,896.73/6,884.38
  6. Step 6: Final answer
    x = 6,628.76

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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.