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Finding the Fourth Proportional to 20,633.78, 30,948.27 and 6,782.90

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Solution

The fourth proportional to 20,633.78, 30,948.27 and 6,782.90 is: 10,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.78 : 30,948.27 = 6,782.90 : x
  2. Step 2: Convert to fraction form
    20,633.78/30,948.27 = 6,782.90/x
  3. Step 3: Cross multiply
    20,633.78x = 30,948.27 × 6,782.90
  4. Step 4: Simplify right side
    20,633.78x = 209,919,020.58
  5. Step 5: Solve for x
    x = 209,919,020.58/20,633.78
  6. Step 6: Final answer
    x = 10,173.56

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1.5x scale

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.