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Finding the Fourth Proportional to 9,082, 13,623 and 3,610

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Solution

The fourth proportional to 9,082, 13,623 and 3,610 is: 5,415

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082 : 13,623 = 3,610 : x
  2. Step 2: Convert to fraction form
    9,082/13,623 = 3,610/x
  3. Step 3: Cross multiply
    9,082x = 13,623 × 3,610
  4. Step 4: Simplify right side
    9,082x = 49,179,030
  5. Step 5: Solve for x
    x = 49,179,030/9,082
  6. Step 6: Final answer
    x = 5,415

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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.