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Finding the Fourth Proportional to 20,234.00, 30,354.64 and 6,193.76

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Solution

The fourth proportional to 20,234.00, 30,354.64 and 6,193.76 is: 9,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.00 : 30,354.64 = 6,193.76 : x
  2. Step 2: Convert to fraction form
    20,234.00/30,354.64 = 6,193.76/x
  3. Step 3: Cross multiply
    20,234.00x = 30,354.64 × 6,193.76
  4. Step 4: Simplify right side
    20,234.00x = 188,009,324.08
  5. Step 5: Solve for x
    x = 188,009,324.08/20,234.00
  6. Step 6: Final answer
    x = 9,291.75

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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.