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Finding the Fourth Proportional to 8,564.70, 12,843.98 and 3,634.68

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Solution

The fourth proportional to 8,564.70, 12,843.98 and 3,634.68 is: 5,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.70 : 12,843.98 = 3,634.68 : x
  2. Step 2: Convert to fraction form
    8,564.70/12,843.98 = 3,634.68/x
  3. Step 3: Cross multiply
    8,564.70x = 12,843.98 × 3,634.68
  4. Step 4: Simplify right side
    8,564.70x = 46,683,757.23
  5. Step 5: Solve for x
    x = 46,683,757.23/8,564.70
  6. Step 6: Final answer
    x = 5,450.72

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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.