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Finding the Fourth Proportional to 6,197.94, 8,564.25 and 4,611

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Solution

The fourth proportional to 6,197.94, 8,564.25 and 4,611 is: 6,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.94 : 8,564.25 = 4,611 : x
  2. Step 2: Convert to fraction form
    6,197.94/8,564.25 = 4,611/x
  3. Step 3: Cross multiply
    6,197.94x = 8,564.25 × 4,611
  4. Step 4: Simplify right side
    6,197.94x = 39,489,756.75
  5. Step 5: Solve for x
    x = 39,489,756.75/6,197.94
  6. Step 6: Final answer
    x = 6,371.43

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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.