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Finding the Fourth Proportional to 6,193.25, 9,291.09 and 2,730.50

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Solution

The fourth proportional to 6,193.25, 9,291.09 and 2,730.50 is: 4,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.25 : 9,291.09 = 2,730.50 : x
  2. Step 2: Convert to fraction form
    6,193.25/9,291.09 = 2,730.50/x
  3. Step 3: Cross multiply
    6,193.25x = 9,291.09 × 2,730.50
  4. Step 4: Simplify right side
    6,193.25x = 25,369,321.25
  5. Step 5: Solve for x
    x = 25,369,321.25/6,193.25
  6. Step 6: Final answer
    x = 4,096.29

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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.