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Finding the Fourth Proportional to 5,661.37, 7,813.18 and 3,143.97

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Solution

The fourth proportional to 5,661.37, 7,813.18 and 3,143.97 is: 4,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.37 : 7,813.18 = 3,143.97 : x
  2. Step 2: Convert to fraction form
    5,661.37/7,813.18 = 3,143.97/x
  3. Step 3: Cross multiply
    5,661.37x = 7,813.18 × 3,143.97
  4. Step 4: Simplify right side
    5,661.37x = 24,564,403.52
  5. Step 5: Solve for x
    x = 24,564,403.52/5,661.37
  6. Step 6: Final answer
    x = 4,338.95

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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.