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Finding the Fourth Proportional to 6,710.98, 10,067 and 2,813.26

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Solution

The fourth proportional to 6,710.98, 10,067 and 2,813.26 is: 4,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.98 : 10,067 = 2,813.26 : x
  2. Step 2: Convert to fraction form
    6,710.98/10,067 = 2,813.26/x
  3. Step 3: Cross multiply
    6,710.98x = 10,067 × 2,813.26
  4. Step 4: Simplify right side
    6,710.98x = 28,321,088.42
  5. Step 5: Solve for x
    x = 28,321,088.42/6,710.98
  6. Step 6: Final answer
    x = 4,220.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.