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Finding the Fourth Proportional to 7,524, 11,286 and 2,052

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Solution

The fourth proportional to 7,524, 11,286 and 2,052 is: 3,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 11,286 = 2,052 : x
  2. Step 2: Convert to fraction form
    7,524/11,286 = 2,052/x
  3. Step 3: Cross multiply
    7,524x = 11,286 × 2,052
  4. Step 4: Simplify right side
    7,524x = 23,158,872
  5. Step 5: Solve for x
    x = 23,158,872/7,524
  6. Step 6: Final answer
    x = 3,078

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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.