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Finding the Fourth Proportional to 22,114, 33,171 and 5,698

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Solution

The fourth proportional to 22,114, 33,171 and 5,698 is: 8,547

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114 : 33,171 = 5,698 : x
  2. Step 2: Convert to fraction form
    22,114/33,171 = 5,698/x
  3. Step 3: Cross multiply
    22,114x = 33,171 × 5,698
  4. Step 4: Simplify right side
    22,114x = 189,008,358
  5. Step 5: Solve for x
    x = 189,008,358/22,114
  6. Step 6: Final answer
    x = 8,547

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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.