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Finding the Fourth Proportional to 6,578.26, 9,871.11 and 3,656.26

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Solution

The fourth proportional to 6,578.26, 9,871.11 and 3,656.26 is: 5,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.26 : 9,871.11 = 3,656.26 : x
  2. Step 2: Convert to fraction form
    6,578.26/9,871.11 = 3,656.26/x
  3. Step 3: Cross multiply
    6,578.26x = 9,871.11 × 3,656.26
  4. Step 4: Simplify right side
    6,578.26x = 36,091,344.65
  5. Step 5: Solve for x
    x = 36,091,344.65/6,578.26
  6. Step 6: Final answer
    x = 5,486.46

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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.