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Finding the Fourth Proportional to 10,638, 14,680.44 and 5,922.59

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Solution

The fourth proportional to 10,638, 14,680.44 and 5,922.59 is: 8,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 14,680.44 = 5,922.59 : x
  2. Step 2: Convert to fraction form
    10,638/14,680.44 = 5,922.59/x
  3. Step 3: Cross multiply
    10,638x = 14,680.44 × 5,922.59
  4. Step 4: Simplify right side
    10,638x = 86,946,227.14
  5. Step 5: Solve for x
    x = 86,946,227.14/10,638
  6. Step 6: Final answer
    x = 8,173.17

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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.