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Finding the Fourth Proportional to 6,098.65, 9,149.09 and 2,768.47

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Solution

The fourth proportional to 6,098.65, 9,149.09 and 2,768.47 is: 4,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.65 : 9,149.09 = 2,768.47 : x
  2. Step 2: Convert to fraction form
    6,098.65/9,149.09 = 2,768.47/x
  3. Step 3: Cross multiply
    6,098.65x = 9,149.09 × 2,768.47
  4. Step 4: Simplify right side
    6,098.65x = 25,328,944.48
  5. Step 5: Solve for x
    x = 25,328,944.48/6,098.65
  6. Step 6: Final answer
    x = 4,153.21

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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.