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Finding the Fourth Proportional to 6,098.39, 9,148.87 and 2,149.49

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Solution

The fourth proportional to 6,098.39, 9,148.87 and 2,149.49 is: 3,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.39 : 9,148.87 = 2,149.49 : x
  2. Step 2: Convert to fraction form
    6,098.39/9,148.87 = 2,149.49/x
  3. Step 3: Cross multiply
    6,098.39x = 9,148.87 × 2,149.49
  4. Step 4: Simplify right side
    6,098.39x = 19,665,384.72
  5. Step 5: Solve for x
    x = 19,665,384.72/6,098.39
  6. Step 6: Final answer
    x = 3,224.69

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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.