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Finding the Fourth Proportional to 4,766.92, 6,578.66 and 2,642.54

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Solution

The fourth proportional to 4,766.92, 6,578.66 and 2,642.54 is: 3,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.92 : 6,578.66 = 2,642.54 : x
  2. Step 2: Convert to fraction form
    4,766.92/6,578.66 = 2,642.54/x
  3. Step 3: Cross multiply
    4,766.92x = 6,578.66 × 2,642.54
  4. Step 4: Simplify right side
    4,766.92x = 17,384,357.40
  5. Step 5: Solve for x
    x = 17,384,357.40/4,766.92
  6. Step 6: Final answer
    x = 3,646.87

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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.