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Finding the Fourth Proportional to 6,910.68, 10,406.67 and 4,976.44

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Solution

The fourth proportional to 6,910.68, 10,406.67 and 4,976.44 is: 7,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.68 : 10,406.67 = 4,976.44 : x
  2. Step 2: Convert to fraction form
    6,910.68/10,406.67 = 4,976.44/x
  3. Step 3: Cross multiply
    6,910.68x = 10,406.67 × 4,976.44
  4. Step 4: Simplify right side
    6,910.68x = 51,788,168.85
  5. Step 5: Solve for x
    x = 51,788,168.85/6,910.68
  6. Step 6: Final answer
    x = 7,493.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.