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Finding the Fourth Proportional to 7,578.52, 11,369.24 and 2,649.56

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Solution

The fourth proportional to 7,578.52, 11,369.24 and 2,649.56 is: 3,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.52 : 11,369.24 = 2,649.56 : x
  2. Step 2: Convert to fraction form
    7,578.52/11,369.24 = 2,649.56/x
  3. Step 3: Cross multiply
    7,578.52x = 11,369.24 × 2,649.56
  4. Step 4: Simplify right side
    7,578.52x = 30,123,483.53
  5. Step 5: Solve for x
    x = 30,123,483.53/7,578.52
  6. Step 6: Final answer
    x = 3,974.85

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1.5x scale

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.