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Finding the Fourth Proportional to 6,098.75, 9,149.13 and 2,148.88

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Solution

The fourth proportional to 6,098.75, 9,149.13 and 2,148.88 is: 3,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.75 : 9,149.13 = 2,148.88 : x
  2. Step 2: Convert to fraction form
    6,098.75/9,149.13 = 2,148.88/x
  3. Step 3: Cross multiply
    6,098.75x = 9,149.13 × 2,148.88
  4. Step 4: Simplify right side
    6,098.75x = 19,660,382.47
  5. Step 5: Solve for x
    x = 19,660,382.47/6,098.75
  6. Step 6: Final answer
    x = 3,223.67

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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.