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Finding the Fourth Proportional to 6,171.44, 9,257.56 and 2,223.50

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Solution

The fourth proportional to 6,171.44, 9,257.56 and 2,223.50 is: 3,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.44 : 9,257.56 = 2,223.50 : x
  2. Step 2: Convert to fraction form
    6,171.44/9,257.56 = 2,223.50/x
  3. Step 3: Cross multiply
    6,171.44x = 9,257.56 × 2,223.50
  4. Step 4: Simplify right side
    6,171.44x = 20,584,132.81
  5. Step 5: Solve for x
    x = 20,584,132.81/6,171.44
  6. Step 6: Final answer
    x = 3,335.39

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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.