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Finding the Fourth Proportional to 9,682.10, 14,523.16 and 2,662.22

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Solution

The fourth proportional to 9,682.10, 14,523.16 and 2,662.22 is: 3,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.10 : 14,523.16 = 2,662.22 : x
  2. Step 2: Convert to fraction form
    9,682.10/14,523.16 = 2,662.22/x
  3. Step 3: Cross multiply
    9,682.10x = 14,523.16 × 2,662.22
  4. Step 4: Simplify right side
    9,682.10x = 38,663,847.02
  5. Step 5: Solve for x
    x = 38,663,847.02/9,682.10
  6. Step 6: Final answer
    x = 3,993.33

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Similar ratio
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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.