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Finding the Fourth Proportional to 11,050, 15,249 and 6,082

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Solution

The fourth proportional to 11,050, 15,249 and 6,082 is: 8,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,050 : 15,249 = 6,082 : x
  2. Step 2: Convert to fraction form
    11,050/15,249 = 6,082/x
  3. Step 3: Cross multiply
    11,050x = 15,249 × 6,082
  4. Step 4: Simplify right side
    11,050x = 92,744,418
  5. Step 5: Solve for x
    x = 92,744,418/11,050
  6. Step 6: Final answer
    x = 8,393.16

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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.