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Finding the Fourth Proportional to 11,519, 15,896.22 and 6,551

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Solution

The fourth proportional to 11,519, 15,896.22 and 6,551 is: 9,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519 : 15,896.22 = 6,551 : x
  2. Step 2: Convert to fraction form
    11,519/15,896.22 = 6,551/x
  3. Step 3: Cross multiply
    11,519x = 15,896.22 × 6,551
  4. Step 4: Simplify right side
    11,519x = 104,136,137.22
  5. Step 5: Solve for x
    x = 104,136,137.22/11,519
  6. Step 6: Final answer
    x = 9,040.38

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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.