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Finding the Fourth Proportional to 4,676.82, 6,446.43 and 4,414.38

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Solution

The fourth proportional to 4,676.82, 6,446.43 and 4,414.38 is: 6,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.82 : 6,446.43 = 4,414.38 : x
  2. Step 2: Convert to fraction form
    4,676.82/6,446.43 = 4,414.38/x
  3. Step 3: Cross multiply
    4,676.82x = 6,446.43 × 4,414.38
  4. Step 4: Simplify right side
    4,676.82x = 28,456,991.66
  5. Step 5: Solve for x
    x = 28,456,991.66/4,676.82
  6. Step 6: Final answer
    x = 6,084.69

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Double scale
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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.