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Finding the Fourth Proportional to 7,266.54, 10,901.46 and 2,649.50

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Solution

The fourth proportional to 7,266.54, 10,901.46 and 2,649.50 is: 3,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.54 : 10,901.46 = 2,649.50 : x
  2. Step 2: Convert to fraction form
    7,266.54/10,901.46 = 2,649.50/x
  3. Step 3: Cross multiply
    7,266.54x = 10,901.46 × 2,649.50
  4. Step 4: Simplify right side
    7,266.54x = 28,883,418.27
  5. Step 5: Solve for x
    x = 28,883,418.27/7,266.54
  6. Step 6: Final answer
    x = 3,974.85

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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.