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Finding the Fourth Proportional to 5,641.67, 8,462.14 and 1,943.97

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Solution

The fourth proportional to 5,641.67, 8,462.14 and 1,943.97 is: 2,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.67 : 8,462.14 = 1,943.97 : x
  2. Step 2: Convert to fraction form
    5,641.67/8,462.14 = 1,943.97/x
  3. Step 3: Cross multiply
    5,641.67x = 8,462.14 × 1,943.97
  4. Step 4: Simplify right side
    5,641.67x = 16,450,141.44
  5. Step 5: Solve for x
    x = 16,450,141.44/5,641.67
  6. Step 6: Final answer
    x = 2,915.83

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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.