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Finding the Fourth Proportional to 7,266.25, 10,901 and 2,649.25

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Solution

The fourth proportional to 7,266.25, 10,901 and 2,649.25 is: 3,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.25 : 10,901 = 2,649.25 : x
  2. Step 2: Convert to fraction form
    7,266.25/10,901 = 2,649.25/x
  3. Step 3: Cross multiply
    7,266.25x = 10,901 × 2,649.25
  4. Step 4: Simplify right side
    7,266.25x = 28,879,474.25
  5. Step 5: Solve for x
    x = 28,879,474.25/7,266.25
  6. Step 6: Final answer
    x = 3,974.47

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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.