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Finding the Fourth Proportional to 6,020.20, 7,986.13 and 6,020.20

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Solution

The fourth proportional to 6,020.20, 7,986.13 and 6,020.20 is: 7,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.20 : 7,986.13 = 6,020.20 : x
  2. Step 2: Convert to fraction form
    6,020.20/7,986.13 = 6,020.20/x
  3. Step 3: Cross multiply
    6,020.20x = 7,986.13 × 6,020.20
  4. Step 4: Simplify right side
    6,020.20x = 48,078,099.83
  5. Step 5: Solve for x
    x = 48,078,099.83/6,020.20
  6. Step 6: Final answer
    x = 7,986.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.