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Finding the Fourth Proportional to 6,147.28, 9,254.14 and 5,611.60

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Solution

The fourth proportional to 6,147.28, 9,254.14 and 5,611.60 is: 8,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.28 : 9,254.14 = 5,611.60 : x
  2. Step 2: Convert to fraction form
    6,147.28/9,254.14 = 5,611.60/x
  3. Step 3: Cross multiply
    6,147.28x = 9,254.14 × 5,611.60
  4. Step 4: Simplify right side
    6,147.28x = 51,930,532.02
  5. Step 5: Solve for x
    x = 51,930,532.02/6,147.28
  6. Step 6: Final answer
    x = 8,447.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.