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Finding the Fourth Proportional to 6,906.87, 9,514.80 and 5,706.86

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Solution

The fourth proportional to 6,906.87, 9,514.80 and 5,706.86 is: 7,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.87 : 9,514.80 = 5,706.86 : x
  2. Step 2: Convert to fraction form
    6,906.87/9,514.80 = 5,706.86/x
  3. Step 3: Cross multiply
    6,906.87x = 9,514.80 × 5,706.86
  4. Step 4: Simplify right side
    6,906.87x = 54,299,583.95
  5. Step 5: Solve for x
    x = 54,299,583.95/6,906.87
  6. Step 6: Final answer
    x = 7,861.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.