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Finding the Fourth Proportional to 20,631, 30,946.68 and 6,780

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Solution

The fourth proportional to 20,631, 30,946.68 and 6,780 is: 10,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631 : 30,946.68 = 6,780 : x
  2. Step 2: Convert to fraction form
    20,631/30,946.68 = 6,780/x
  3. Step 3: Cross multiply
    20,631x = 30,946.68 × 6,780
  4. Step 4: Simplify right side
    20,631x = 209,818,490.40
  5. Step 5: Solve for x
    x = 209,818,490.40/20,631
  6. Step 6: Final answer
    x = 10,170.06

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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.