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Finding the Fourth Proportional to 7,679.80, 11,512.21 and 4,166.63

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Solution

The fourth proportional to 7,679.80, 11,512.21 and 4,166.63 is: 6,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.80 : 11,512.21 = 4,166.63 : x
  2. Step 2: Convert to fraction form
    7,679.80/11,512.21 = 4,166.63/x
  3. Step 3: Cross multiply
    7,679.80x = 11,512.21 × 4,166.63
  4. Step 4: Simplify right side
    7,679.80x = 47,967,119.55
  5. Step 5: Solve for x
    x = 47,967,119.55/7,679.80
  6. Step 6: Final answer
    x = 6,245.88

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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.