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Finding the Fourth Proportional to 5,963.97, 8,238.03 and 4,539

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Solution

The fourth proportional to 5,963.97, 8,238.03 and 4,539 is: 6,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.97 : 8,238.03 = 4,539 : x
  2. Step 2: Convert to fraction form
    5,963.97/8,238.03 = 4,539/x
  3. Step 3: Cross multiply
    5,963.97x = 8,238.03 × 4,539
  4. Step 4: Simplify right side
    5,963.97x = 37,392,395.48
  5. Step 5: Solve for x
    x = 37,392,395.48/5,963.97
  6. Step 6: Final answer
    x = 6,269.72

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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.