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Finding the Fourth Proportional to 5,442.49, 7,493.87 and 4,766.39

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Solution

The fourth proportional to 5,442.49, 7,493.87 and 4,766.39 is: 6,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.49 : 7,493.87 = 4,766.39 : x
  2. Step 2: Convert to fraction form
    5,442.49/7,493.87 = 4,766.39/x
  3. Step 3: Cross multiply
    5,442.49x = 7,493.87 × 4,766.39
  4. Step 4: Simplify right side
    5,442.49x = 35,718,745.03
  5. Step 5: Solve for x
    x = 35,718,745.03/5,442.49
  6. Step 6: Final answer
    x = 6,562.95

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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.