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Finding the Fourth Proportional to 7,081.58, 9,766.62 and 5,965.13

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Solution

The fourth proportional to 7,081.58, 9,766.62 and 5,965.13 is: 8,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.58 : 9,766.62 = 5,965.13 : x
  2. Step 2: Convert to fraction form
    7,081.58/9,766.62 = 5,965.13/x
  3. Step 3: Cross multiply
    7,081.58x = 9,766.62 × 5,965.13
  4. Step 4: Simplify right side
    7,081.58x = 58,259,109.13
  5. Step 5: Solve for x
    x = 58,259,109.13/7,081.58
  6. Step 6: Final answer
    x = 8,226.86

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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.