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Finding the Fourth Proportional to 6,354.86, 9,529.94 and 2,193.80

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Solution

The fourth proportional to 6,354.86, 9,529.94 and 2,193.80 is: 3,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.86 : 9,529.94 = 2,193.80 : x
  2. Step 2: Convert to fraction form
    6,354.86/9,529.94 = 2,193.80/x
  3. Step 3: Cross multiply
    6,354.86x = 9,529.94 × 2,193.80
  4. Step 4: Simplify right side
    6,354.86x = 20,906,740.21
  5. Step 5: Solve for x
    x = 20,906,740.21/6,354.86
  6. Step 6: Final answer
    x = 3,289.88

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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.