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Finding the Fourth Proportional to 8,447.94, 12,652.47 and 6,743.70

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Solution

The fourth proportional to 8,447.94, 12,652.47 and 6,743.70 is: 10,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.94 : 12,652.47 = 6,743.70 : x
  2. Step 2: Convert to fraction form
    8,447.94/12,652.47 = 6,743.70/x
  3. Step 3: Cross multiply
    8,447.94x = 12,652.47 × 6,743.70
  4. Step 4: Simplify right side
    8,447.94x = 85,324,461.94
  5. Step 5: Solve for x
    x = 85,324,461.94/8,447.94
  6. Step 6: Final answer
    x = 10,100.03

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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.