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Finding the Fourth Proportional to 6,805.93, 10,217.54 and 5,786.41

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Solution

The fourth proportional to 6,805.93, 10,217.54 and 5,786.41 is: 8,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.93 : 10,217.54 = 5,786.41 : x
  2. Step 2: Convert to fraction form
    6,805.93/10,217.54 = 5,786.41/x
  3. Step 3: Cross multiply
    6,805.93x = 10,217.54 × 5,786.41
  4. Step 4: Simplify right side
    6,805.93x = 59,122,846.70
  5. Step 5: Solve for x
    x = 59,122,846.70/6,805.93
  6. Step 6: Final answer
    x = 8,686.96

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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.