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Finding the Fourth Proportional to 6,311.87, 9,468.71 and 1,928.75

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Solution

The fourth proportional to 6,311.87, 9,468.71 and 1,928.75 is: 2,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.87 : 9,468.71 = 1,928.75 : x
  2. Step 2: Convert to fraction form
    6,311.87/9,468.71 = 1,928.75/x
  3. Step 3: Cross multiply
    6,311.87x = 9,468.71 × 1,928.75
  4. Step 4: Simplify right side
    6,311.87x = 18,262,717.43
  5. Step 5: Solve for x
    x = 18,262,717.43/6,311.87
  6. Step 6: Final answer
    x = 2,893.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.