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Finding the Fourth Proportional to 20,588, 30,882.27 and 6,737

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Solution

The fourth proportional to 20,588, 30,882.27 and 6,737 is: 10,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588 : 30,882.27 = 6,737 : x
  2. Step 2: Convert to fraction form
    20,588/30,882.27 = 6,737/x
  3. Step 3: Cross multiply
    20,588x = 30,882.27 × 6,737
  4. Step 4: Simplify right side
    20,588x = 208,053,852.99
  5. Step 5: Solve for x
    x = 208,053,852.99/20,588
  6. Step 6: Final answer
    x = 10,105.59

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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.