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Finding the Fourth Proportional to 6,564.98, 9,843.69 and 2,865.44

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Solution

The fourth proportional to 6,564.98, 9,843.69 and 2,865.44 is: 4,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.98 : 9,843.69 = 2,865.44 : x
  2. Step 2: Convert to fraction form
    6,564.98/9,843.69 = 2,865.44/x
  3. Step 3: Cross multiply
    6,564.98x = 9,843.69 × 2,865.44
  4. Step 4: Simplify right side
    6,564.98x = 28,206,503.07
  5. Step 5: Solve for x
    x = 28,206,503.07/6,564.98
  6. Step 6: Final answer
    x = 4,296.51

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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.