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Finding the Fourth Proportional to 6,863.53, 9,464.73 and 6,104.92

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Solution

The fourth proportional to 6,863.53, 9,464.73 and 6,104.92 is: 8,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.53 : 9,464.73 = 6,104.92 : x
  2. Step 2: Convert to fraction form
    6,863.53/9,464.73 = 6,104.92/x
  3. Step 3: Cross multiply
    6,863.53x = 9,464.73 × 6,104.92
  4. Step 4: Simplify right side
    6,863.53x = 57,781,419.47
  5. Step 5: Solve for x
    x = 57,781,419.47/6,863.53
  6. Step 6: Final answer
    x = 8,418.62

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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.