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Finding the Fourth Proportional to 7,165.80, 10,749.97 and 2,234.22

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Solution

The fourth proportional to 7,165.80, 10,749.97 and 2,234.22 is: 3,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.80 : 10,749.97 = 2,234.22 : x
  2. Step 2: Convert to fraction form
    7,165.80/10,749.97 = 2,234.22/x
  3. Step 3: Cross multiply
    7,165.80x = 10,749.97 × 2,234.22
  4. Step 4: Simplify right side
    7,165.80x = 24,017,738.64
  5. Step 5: Solve for x
    x = 24,017,738.64/7,165.80
  6. Step 6: Final answer
    x = 3,351.72

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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.