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Finding the Fourth Proportional to 12,302, 18,453 and 4,094

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Solution

The fourth proportional to 12,302, 18,453 and 4,094 is: 6,141

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302 : 18,453 = 4,094 : x
  2. Step 2: Convert to fraction form
    12,302/18,453 = 4,094/x
  3. Step 3: Cross multiply
    12,302x = 18,453 × 4,094
  4. Step 4: Simplify right side
    12,302x = 75,546,582
  5. Step 5: Solve for x
    x = 75,546,582/12,302
  6. Step 6: Final answer
    x = 6,141

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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.