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Finding the Fourth Proportional to 6,187.96, 9,282.90 and 2,083

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Solution

The fourth proportional to 6,187.96, 9,282.90 and 2,083 is: 3,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.96 : 9,282.90 = 2,083 : x
  2. Step 2: Convert to fraction form
    6,187.96/9,282.90 = 2,083/x
  3. Step 3: Cross multiply
    6,187.96x = 9,282.90 × 2,083
  4. Step 4: Simplify right side
    6,187.96x = 19,336,280.70
  5. Step 5: Solve for x
    x = 19,336,280.70/6,187.96
  6. Step 6: Final answer
    x = 3,124.82

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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.