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Finding the Fourth Proportional to 6,194.44, 8,545.54 and 3,676.65

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Solution

The fourth proportional to 6,194.44, 8,545.54 and 3,676.65 is: 5,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.44 : 8,545.54 = 3,676.65 : x
  2. Step 2: Convert to fraction form
    6,194.44/8,545.54 = 3,676.65/x
  3. Step 3: Cross multiply
    6,194.44x = 8,545.54 × 3,676.65
  4. Step 4: Simplify right side
    6,194.44x = 31,418,959.64
  5. Step 5: Solve for x
    x = 31,418,959.64/6,194.44
  6. Step 6: Final answer
    x = 5,072.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.