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Finding the Fourth Proportional to 22,082, 33,128.28 and 6,499.44

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Solution

The fourth proportional to 22,082, 33,128.28 and 6,499.44 is: 9,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082 : 33,128.28 = 6,499.44 : x
  2. Step 2: Convert to fraction form
    22,082/33,128.28 = 6,499.44/x
  3. Step 3: Cross multiply
    22,082x = 33,128.28 × 6,499.44
  4. Step 4: Simplify right side
    22,082x = 215,315,268.16
  5. Step 5: Solve for x
    x = 215,315,268.16/22,082
  6. Step 6: Final answer
    x = 9,750.71

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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.