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Finding the Fourth Proportional to 6,098.98, 9,144.05 and 4,119.66

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Solution

The fourth proportional to 6,098.98, 9,144.05 and 4,119.66 is: 6,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.98 : 9,144.05 = 4,119.66 : x
  2. Step 2: Convert to fraction form
    6,098.98/9,144.05 = 4,119.66/x
  3. Step 3: Cross multiply
    6,098.98x = 9,144.05 × 4,119.66
  4. Step 4: Simplify right side
    6,098.98x = 37,670,377.02
  5. Step 5: Solve for x
    x = 37,670,377.02/6,098.98
  6. Step 6: Final answer
    x = 6,176.50

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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.