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Finding the Fourth Proportional to 6,578.89, 9,859.83 and 4,922.44

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Solution

The fourth proportional to 6,578.89, 9,859.83 and 4,922.44 is: 7,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.89 : 9,859.83 = 4,922.44 : x
  2. Step 2: Convert to fraction form
    6,578.89/9,859.83 = 4,922.44/x
  3. Step 3: Cross multiply
    6,578.89x = 9,859.83 × 4,922.44
  4. Step 4: Simplify right side
    6,578.89x = 48,534,421.59
  5. Step 5: Solve for x
    x = 48,534,421.59/6,578.89
  6. Step 6: Final answer
    x = 7,377.30

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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.