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Finding the Fourth Proportional to 6,729.92, 10,097.10 and 2,050.12

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Solution

The fourth proportional to 6,729.92, 10,097.10 and 2,050.12 is: 3,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.92 : 10,097.10 = 2,050.12 : x
  2. Step 2: Convert to fraction form
    6,729.92/10,097.10 = 2,050.12/x
  3. Step 3: Cross multiply
    6,729.92x = 10,097.10 × 2,050.12
  4. Step 4: Simplify right side
    6,729.92x = 20,700,266.65
  5. Step 5: Solve for x
    x = 20,700,266.65/6,729.92
  6. Step 6: Final answer
    x = 3,075.86

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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.