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Finding the Fourth Proportional to 7,793.85, 11,686.62 and 3,406.17

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Solution

The fourth proportional to 7,793.85, 11,686.62 and 3,406.17 is: 5,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.85 : 11,686.62 = 3,406.17 : x
  2. Step 2: Convert to fraction form
    7,793.85/11,686.62 = 3,406.17/x
  3. Step 3: Cross multiply
    7,793.85x = 11,686.62 × 3,406.17
  4. Step 4: Simplify right side
    7,793.85x = 39,806,614.45
  5. Step 5: Solve for x
    x = 39,806,614.45/7,793.85
  6. Step 6: Final answer
    x = 5,107.44

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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.