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Finding the Fourth Proportional to 11,450, 15,801 and 6,482

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Solution

The fourth proportional to 11,450, 15,801 and 6,482 is: 8,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450 : 15,801 = 6,482 : x
  2. Step 2: Convert to fraction form
    11,450/15,801 = 6,482/x
  3. Step 3: Cross multiply
    11,450x = 15,801 × 6,482
  4. Step 4: Simplify right side
    11,450x = 102,422,082
  5. Step 5: Solve for x
    x = 102,422,082/11,450
  6. Step 6: Final answer
    x = 8,945.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.