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Finding the Fourth Proportional to 6,729.62, 10,094.43 and 3,031.16

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Solution

The fourth proportional to 6,729.62, 10,094.43 and 3,031.16 is: 4,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.62 : 10,094.43 = 3,031.16 : x
  2. Step 2: Convert to fraction form
    6,729.62/10,094.43 = 3,031.16/x
  3. Step 3: Cross multiply
    6,729.62x = 10,094.43 × 3,031.16
  4. Step 4: Simplify right side
    6,729.62x = 30,597,832.44
  5. Step 5: Solve for x
    x = 30,597,832.44/6,729.62
  6. Step 6: Final answer
    x = 4,546.74

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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.