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Finding the Fourth Proportional to 12,296, 18,444 and 4,088

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Solution

The fourth proportional to 12,296, 18,444 and 4,088 is: 6,132

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 18,444 = 4,088 : x
  2. Step 2: Convert to fraction form
    12,296/18,444 = 4,088/x
  3. Step 3: Cross multiply
    12,296x = 18,444 × 4,088
  4. Step 4: Simplify right side
    12,296x = 75,399,072
  5. Step 5: Solve for x
    x = 75,399,072/12,296
  6. Step 6: Final answer
    x = 6,132

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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.