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Finding the Fourth Proportional to 4,906.82, 6,769.16 and 2,916.25

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Solution

The fourth proportional to 4,906.82, 6,769.16 and 2,916.25 is: 4,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.82 : 6,769.16 = 2,916.25 : x
  2. Step 2: Convert to fraction form
    4,906.82/6,769.16 = 2,916.25/x
  3. Step 3: Cross multiply
    4,906.82x = 6,769.16 × 2,916.25
  4. Step 4: Simplify right side
    4,906.82x = 19,740,562.85
  5. Step 5: Solve for x
    x = 19,740,562.85/4,906.82
  6. Step 6: Final answer
    x = 4,023.09

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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.