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Finding the Fourth Proportional to 4,896.96, 6,757.78 and 2,658.82

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Solution

The fourth proportional to 4,896.96, 6,757.78 and 2,658.82 is: 3,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.96 : 6,757.78 = 2,658.82 : x
  2. Step 2: Convert to fraction form
    4,896.96/6,757.78 = 2,658.82/x
  3. Step 3: Cross multiply
    4,896.96x = 6,757.78 × 2,658.82
  4. Step 4: Simplify right side
    4,896.96x = 17,967,720.62
  5. Step 5: Solve for x
    x = 17,967,720.62/4,896.96
  6. Step 6: Final answer
    x = 3,669.16

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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.