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Finding the Fourth Proportional to 6,205.68, 8,556.84 and 4,524.12

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Solution

The fourth proportional to 6,205.68, 8,556.84 and 4,524.12 is: 6,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.68 : 8,556.84 = 4,524.12 : x
  2. Step 2: Convert to fraction form
    6,205.68/8,556.84 = 4,524.12/x
  3. Step 3: Cross multiply
    6,205.68x = 8,556.84 × 4,524.12
  4. Step 4: Simplify right side
    6,205.68x = 38,712,170.98
  5. Step 5: Solve for x
    x = 38,712,170.98/6,205.68
  6. Step 6: Final answer
    x = 6,238.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.