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Finding the Fourth Proportional to 14,588, 21,882 and 3,644

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Solution

The fourth proportional to 14,588, 21,882 and 3,644 is: 5,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588 : 21,882 = 3,644 : x
  2. Step 2: Convert to fraction form
    14,588/21,882 = 3,644/x
  3. Step 3: Cross multiply
    14,588x = 21,882 × 3,644
  4. Step 4: Simplify right side
    14,588x = 79,738,008
  5. Step 5: Solve for x
    x = 79,738,008/14,588
  6. Step 6: Final answer
    x = 5,466

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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.