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Finding the Fourth Proportional to 6,778.35, 10,167.84 and 2,396.25

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Solution

The fourth proportional to 6,778.35, 10,167.84 and 2,396.25 is: 3,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.35 : 10,167.84 = 2,396.25 : x
  2. Step 2: Convert to fraction form
    6,778.35/10,167.84 = 2,396.25/x
  3. Step 3: Cross multiply
    6,778.35x = 10,167.84 × 2,396.25
  4. Step 4: Simplify right side
    6,778.35x = 24,364,686.60
  5. Step 5: Solve for x
    x = 24,364,686.60/6,778.35
  6. Step 6: Final answer
    x = 3,594.49

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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.