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Finding the Fourth Proportional to 8,536.35, 12,793.59 and 6,584.46

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Solution

The fourth proportional to 8,536.35, 12,793.59 and 6,584.46 is: 9,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.35 : 12,793.59 = 6,584.46 : x
  2. Step 2: Convert to fraction form
    8,536.35/12,793.59 = 6,584.46/x
  3. Step 3: Cross multiply
    8,536.35x = 12,793.59 × 6,584.46
  4. Step 4: Simplify right side
    8,536.35x = 84,238,881.61
  5. Step 5: Solve for x
    x = 84,238,881.61/8,536.35
  6. Step 6: Final answer
    x = 9,868.26

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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.