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Finding the Fourth Proportional to 4,766.72, 6,578.14 and 2,642.32

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Solution

The fourth proportional to 4,766.72, 6,578.14 and 2,642.32 is: 3,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.72 : 6,578.14 = 2,642.32 : x
  2. Step 2: Convert to fraction form
    4,766.72/6,578.14 = 2,642.32/x
  3. Step 3: Cross multiply
    4,766.72x = 6,578.14 × 2,642.32
  4. Step 4: Simplify right side
    4,766.72x = 17,381,550.88
  5. Step 5: Solve for x
    x = 17,381,550.88/4,766.72
  6. Step 6: Final answer
    x = 3,646.44

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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.