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Finding the Fourth Proportional to 6,578.98, 9,865.08 and 2,417.92

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Solution

The fourth proportional to 6,578.98, 9,865.08 and 2,417.92 is: 3,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.98 : 9,865.08 = 2,417.92 : x
  2. Step 2: Convert to fraction form
    6,578.98/9,865.08 = 2,417.92/x
  3. Step 3: Cross multiply
    6,578.98x = 9,865.08 × 2,417.92
  4. Step 4: Simplify right side
    6,578.98x = 23,852,974.23
  5. Step 5: Solve for x
    x = 23,852,974.23/6,578.98
  6. Step 6: Final answer
    x = 3,625.63

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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.