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Finding the Fourth Proportional to 8,991, 13,489.17 and 4,611.54

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Solution

The fourth proportional to 8,991, 13,489.17 and 4,611.54 is: 6,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991 : 13,489.17 = 4,611.54 : x
  2. Step 2: Convert to fraction form
    8,991/13,489.17 = 4,611.54/x
  3. Step 3: Cross multiply
    8,991x = 13,489.17 × 4,611.54
  4. Step 4: Simplify right side
    8,991x = 62,205,847.02
  5. Step 5: Solve for x
    x = 62,205,847.02/8,991
  6. Step 6: Final answer
    x = 6,918.68

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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.