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Finding the Fourth Proportional to 6,909.68, 10,362.84 and 3,446.12

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Solution

The fourth proportional to 6,909.68, 10,362.84 and 3,446.12 is: 5,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.68 : 10,362.84 = 3,446.12 : x
  2. Step 2: Convert to fraction form
    6,909.68/10,362.84 = 3,446.12/x
  3. Step 3: Cross multiply
    6,909.68x = 10,362.84 × 3,446.12
  4. Step 4: Simplify right side
    6,909.68x = 35,711,590.18
  5. Step 5: Solve for x
    x = 35,711,590.18/6,909.68
  6. Step 6: Final answer
    x = 5,168.34

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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.