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Finding the Fourth Proportional to 8,651.72, 12,989.58 and 6,013

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Solution

The fourth proportional to 8,651.72, 12,989.58 and 6,013 is: 9,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.72 : 12,989.58 = 6,013 : x
  2. Step 2: Convert to fraction form
    8,651.72/12,989.58 = 6,013/x
  3. Step 3: Cross multiply
    8,651.72x = 12,989.58 × 6,013
  4. Step 4: Simplify right side
    8,651.72x = 78,106,344.54
  5. Step 5: Solve for x
    x = 78,106,344.54/8,651.72
  6. Step 6: Final answer
    x = 9,027.84

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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.