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Finding the Fourth Proportional to 16,846, 25,269 and 4,534

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Solution

The fourth proportional to 16,846, 25,269 and 4,534 is: 6,801

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846 : 25,269 = 4,534 : x
  2. Step 2: Convert to fraction form
    16,846/25,269 = 4,534/x
  3. Step 3: Cross multiply
    16,846x = 25,269 × 4,534
  4. Step 4: Simplify right side
    16,846x = 114,569,646
  5. Step 5: Solve for x
    x = 114,569,646/16,846
  6. Step 6: Final answer
    x = 6,801

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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.