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Finding the Fourth Proportional to 6,578.82, 9,867.06 and 3,020.04

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Solution

The fourth proportional to 6,578.82, 9,867.06 and 3,020.04 is: 4,529.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.82 : 9,867.06 = 3,020.04 : x
  2. Step 2: Convert to fraction form
    6,578.82/9,867.06 = 3,020.04/x
  3. Step 3: Cross multiply
    6,578.82x = 9,867.06 × 3,020.04
  4. Step 4: Simplify right side
    6,578.82x = 29,798,915.88
  5. Step 5: Solve for x
    x = 29,798,915.88/6,578.82
  6. Step 6: Final answer
    x = 4,529.52

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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.