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Finding the Fourth Proportional to 6,591.92, 9,890.31 and 3,083.06

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Solution

The fourth proportional to 6,591.92, 9,890.31 and 3,083.06 is: 4,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.92 : 9,890.31 = 3,083.06 : x
  2. Step 2: Convert to fraction form
    6,591.92/9,890.31 = 3,083.06/x
  3. Step 3: Cross multiply
    6,591.92x = 9,890.31 × 3,083.06
  4. Step 4: Simplify right side
    6,591.92x = 30,492,443.87
  5. Step 5: Solve for x
    x = 30,492,443.87/6,591.92
  6. Step 6: Final answer
    x = 4,625.73

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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.