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Finding the Fourth Proportional to 6,013.84, 9,012.60 and 3,086

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Solution

The fourth proportional to 6,013.84, 9,012.60 and 3,086 is: 4,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.84 : 9,012.60 = 3,086 : x
  2. Step 2: Convert to fraction form
    6,013.84/9,012.60 = 3,086/x
  3. Step 3: Cross multiply
    6,013.84x = 9,012.60 × 3,086
  4. Step 4: Simplify right side
    6,013.84x = 27,812,883.60
  5. Step 5: Solve for x
    x = 27,812,883.60/6,013.84
  6. Step 6: Final answer
    x = 4,624.81

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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.