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Finding the Fourth Proportional to 6,013.70, 9,013.96 and 3,092.16

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Solution

The fourth proportional to 6,013.70, 9,013.96 and 3,092.16 is: 4,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.70 : 9,013.96 = 3,092.16 : x
  2. Step 2: Convert to fraction form
    6,013.70/9,013.96 = 3,092.16/x
  3. Step 3: Cross multiply
    6,013.70x = 9,013.96 × 3,092.16
  4. Step 4: Simplify right side
    6,013.70x = 27,872,606.55
  5. Step 5: Solve for x
    x = 27,872,606.55/6,013.70
  6. Step 6: Final answer
    x = 4,634.85

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1.5x scale

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.