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Finding the Fourth Proportional to 6,565.75, 9,843.10 and 3,053.97

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Solution

The fourth proportional to 6,565.75, 9,843.10 and 3,053.97 is: 4,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.75 : 9,843.10 = 3,053.97 : x
  2. Step 2: Convert to fraction form
    6,565.75/9,843.10 = 3,053.97/x
  3. Step 3: Cross multiply
    6,565.75x = 9,843.10 × 3,053.97
  4. Step 4: Simplify right side
    6,565.75x = 30,060,556.71
  5. Step 5: Solve for x
    x = 30,060,556.71/6,565.75
  6. Step 6: Final answer
    x = 4,578.39

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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.