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Finding the Fourth Proportional to 6,906.68, 10,352.62 and 2,740.92

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Solution

The fourth proportional to 6,906.68, 10,352.62 and 2,740.92 is: 4,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.68 : 10,352.62 = 2,740.92 : x
  2. Step 2: Convert to fraction form
    6,906.68/10,352.62 = 2,740.92/x
  3. Step 3: Cross multiply
    6,906.68x = 10,352.62 × 2,740.92
  4. Step 4: Simplify right side
    6,906.68x = 28,375,703.21
  5. Step 5: Solve for x
    x = 28,375,703.21/6,906.68
  6. Step 6: Final answer
    x = 4,108.44

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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.