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Finding the Fourth Proportional to 36,816, 55,224 and 9,114

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Solution

The fourth proportional to 36,816, 55,224 and 9,114 is: 13,671

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,816 : 55,224 = 9,114 : x
  2. Step 2: Convert to fraction form
    36,816/55,224 = 9,114/x
  3. Step 3: Cross multiply
    36,816x = 55,224 × 9,114
  4. Step 4: Simplify right side
    36,816x = 503,311,536
  5. Step 5: Solve for x
    x = 503,311,536/36,816
  6. Step 6: Final answer
    x = 13,671

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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.