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Finding the Fourth Proportional to 5,906.34, 8,816.30 and 5,205.73

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Solution

The fourth proportional to 5,906.34, 8,816.30 and 5,205.73 is: 7,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.34 : 8,816.30 = 5,205.73 : x
  2. Step 2: Convert to fraction form
    5,906.34/8,816.30 = 5,205.73/x
  3. Step 3: Cross multiply
    5,906.34x = 8,816.30 × 5,205.73
  4. Step 4: Simplify right side
    5,906.34x = 45,895,207.29
  5. Step 5: Solve for x
    x = 45,895,207.29/5,906.34
  6. Step 6: Final answer
    x = 7,770.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.