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Finding the Fourth Proportional to 6,805.41, 9,377.37 and 5,211.96

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Solution

The fourth proportional to 6,805.41, 9,377.37 and 5,211.96 is: 7,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.41 : 9,377.37 = 5,211.96 : x
  2. Step 2: Convert to fraction form
    6,805.41/9,377.37 = 5,211.96/x
  3. Step 3: Cross multiply
    6,805.41x = 9,377.37 × 5,211.96
  4. Step 4: Simplify right side
    6,805.41x = 48,874,477.35
  5. Step 5: Solve for x
    x = 48,874,477.35/6,805.41
  6. Step 6: Final answer
    x = 7,181.71

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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.