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Finding the Fourth Proportional to 6,578.96, 9,867.96 and 2,136.51

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Solution

The fourth proportional to 6,578.96, 9,867.96 and 2,136.51 is: 3,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.96 : 9,867.96 = 2,136.51 : x
  2. Step 2: Convert to fraction form
    6,578.96/9,867.96 = 2,136.51/x
  3. Step 3: Cross multiply
    6,578.96x = 9,867.96 × 2,136.51
  4. Step 4: Simplify right side
    6,578.96x = 21,082,995.22
  5. Step 5: Solve for x
    x = 21,082,995.22/6,578.96
  6. Step 6: Final answer
    x = 3,204.61

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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.