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Finding the Fourth Proportional to 6,863.54, 9,468.24 and 4,504.82

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Solution

The fourth proportional to 6,863.54, 9,468.24 and 4,504.82 is: 6,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.54 : 9,468.24 = 4,504.82 : x
  2. Step 2: Convert to fraction form
    6,863.54/9,468.24 = 4,504.82/x
  3. Step 3: Cross multiply
    6,863.54x = 9,468.24 × 4,504.82
  4. Step 4: Simplify right side
    6,863.54x = 42,652,716.92
  5. Step 5: Solve for x
    x = 42,652,716.92/6,863.54
  6. Step 6: Final answer
    x = 6,214.39

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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.