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Finding the Fourth Proportional to 10,922, 16,383 and 3,532.64

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Solution

The fourth proportional to 10,922, 16,383 and 3,532.64 is: 5,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922 : 16,383 = 3,532.64 : x
  2. Step 2: Convert to fraction form
    10,922/16,383 = 3,532.64/x
  3. Step 3: Cross multiply
    10,922x = 16,383 × 3,532.64
  4. Step 4: Simplify right side
    10,922x = 57,875,241.12
  5. Step 5: Solve for x
    x = 57,875,241.12/10,922
  6. Step 6: Final answer
    x = 5,298.96

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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.