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Finding the Fourth Proportional to 7,442.76, 11,163.10 and 2,511.76

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Solution

The fourth proportional to 7,442.76, 11,163.10 and 2,511.76 is: 3,767.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.76 : 11,163.10 = 2,511.76 : x
  2. Step 2: Convert to fraction form
    7,442.76/11,163.10 = 2,511.76/x
  3. Step 3: Cross multiply
    7,442.76x = 11,163.10 × 2,511.76
  4. Step 4: Simplify right side
    7,442.76x = 28,039,028.06
  5. Step 5: Solve for x
    x = 28,039,028.06/7,442.76
  6. Step 6: Final answer
    x = 3,767.29

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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.