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Finding the Fourth Proportional to 13,826, 20,739 and 4,592

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Solution

The fourth proportional to 13,826, 20,739 and 4,592 is: 6,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 20,739 = 4,592 : x
  2. Step 2: Convert to fraction form
    13,826/20,739 = 4,592/x
  3. Step 3: Cross multiply
    13,826x = 20,739 × 4,592
  4. Step 4: Simplify right side
    13,826x = 95,233,488
  5. Step 5: Solve for x
    x = 95,233,488/13,826
  6. Step 6: Final answer
    x = 6,888

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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.