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Finding the Fourth Proportional to 22,126, 33,189 and 7,534

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Solution

The fourth proportional to 22,126, 33,189 and 7,534 is: 11,301

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,126 : 33,189 = 7,534 : x
  2. Step 2: Convert to fraction form
    22,126/33,189 = 7,534/x
  3. Step 3: Cross multiply
    22,126x = 33,189 × 7,534
  4. Step 4: Simplify right side
    22,126x = 250,045,926
  5. Step 5: Solve for x
    x = 250,045,926/22,126
  6. Step 6: Final answer
    x = 11,301

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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.