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Finding the Fourth Proportional to 8,536.85, 12,794.34 and 6,584.96

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Solution

The fourth proportional to 8,536.85, 12,794.34 and 6,584.96 is: 9,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.85 : 12,794.34 = 6,584.96 : x
  2. Step 2: Convert to fraction form
    8,536.85/12,794.34 = 6,584.96/x
  3. Step 3: Cross multiply
    8,536.85x = 12,794.34 × 6,584.96
  4. Step 4: Simplify right side
    8,536.85x = 84,250,217.13
  5. Step 5: Solve for x
    x = 84,250,217.13/8,536.85
  6. Step 6: Final answer
    x = 9,869.01

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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.