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Finding the Fourth Proportional to 4,766.89, 6,578.51 and 2,642.41

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Solution

The fourth proportional to 4,766.89, 6,578.51 and 2,642.41 is: 3,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.89 : 6,578.51 = 2,642.41 : x
  2. Step 2: Convert to fraction form
    4,766.89/6,578.51 = 2,642.41/x
  3. Step 3: Cross multiply
    4,766.89x = 6,578.51 × 2,642.41
  4. Step 4: Simplify right side
    4,766.89x = 17,383,120.61
  5. Step 5: Solve for x
    x = 17,383,120.61/4,766.89
  6. Step 6: Final answer
    x = 3,646.64

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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.