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Finding the Fourth Proportional to 6,125.84, 9,184.24 and 1,963.44

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Solution

The fourth proportional to 6,125.84, 9,184.24 and 1,963.44 is: 2,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.84 : 9,184.24 = 1,963.44 : x
  2. Step 2: Convert to fraction form
    6,125.84/9,184.24 = 1,963.44/x
  3. Step 3: Cross multiply
    6,125.84x = 9,184.24 × 1,963.44
  4. Step 4: Simplify right side
    6,125.84x = 18,032,704.19
  5. Step 5: Solve for x
    x = 18,032,704.19/6,125.84
  6. Step 6: Final answer
    x = 2,943.71

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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.