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Finding the Fourth Proportional to 14,556, 21,834 and 5,322

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Solution

The fourth proportional to 14,556, 21,834 and 5,322 is: 7,983

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556 : 21,834 = 5,322 : x
  2. Step 2: Convert to fraction form
    14,556/21,834 = 5,322/x
  3. Step 3: Cross multiply
    14,556x = 21,834 × 5,322
  4. Step 4: Simplify right side
    14,556x = 116,200,548
  5. Step 5: Solve for x
    x = 116,200,548/14,556
  6. Step 6: Final answer
    x = 7,983

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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.