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Finding the Fourth Proportional to 6,729.51, 10,094.84 and 2,049.42

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Solution

The fourth proportional to 6,729.51, 10,094.84 and 2,049.42 is: 3,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.51 : 10,094.84 = 2,049.42 : x
  2. Step 2: Convert to fraction form
    6,729.51/10,094.84 = 2,049.42/x
  3. Step 3: Cross multiply
    6,729.51x = 10,094.84 × 2,049.42
  4. Step 4: Simplify right side
    6,729.51x = 20,688,525.01
  5. Step 5: Solve for x
    x = 20,688,525.01/6,729.51
  6. Step 6: Final answer
    x = 3,074.30

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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.