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Finding the Fourth Proportional to 7,481.14, 11,222.17 and 3,098.94

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Solution

The fourth proportional to 7,481.14, 11,222.17 and 3,098.94 is: 4,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.14 : 11,222.17 = 3,098.94 : x
  2. Step 2: Convert to fraction form
    7,481.14/11,222.17 = 3,098.94/x
  3. Step 3: Cross multiply
    7,481.14x = 11,222.17 × 3,098.94
  4. Step 4: Simplify right side
    7,481.14x = 34,776,831.50
  5. Step 5: Solve for x
    x = 34,776,831.50/7,481.14
  6. Step 6: Final answer
    x = 4,648.60

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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.