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Finding the Fourth Proportional to 6,986.67, 10,482.14 and 2,825.90

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Solution

The fourth proportional to 6,986.67, 10,482.14 and 2,825.90 is: 4,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.67 : 10,482.14 = 2,825.90 : x
  2. Step 2: Convert to fraction form
    6,986.67/10,482.14 = 2,825.90/x
  3. Step 3: Cross multiply
    6,986.67x = 10,482.14 × 2,825.90
  4. Step 4: Simplify right side
    6,986.67x = 29,621,479.43
  5. Step 5: Solve for x
    x = 29,621,479.43/6,986.67
  6. Step 6: Final answer
    x = 4,239.71

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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.