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Finding the Fourth Proportional to 6,122.67, 9,184.50 and 1,963.23

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Solution

The fourth proportional to 6,122.67, 9,184.50 and 1,963.23 is: 2,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.67 : 9,184.50 = 1,963.23 : x
  2. Step 2: Convert to fraction form
    6,122.67/9,184.50 = 1,963.23/x
  3. Step 3: Cross multiply
    6,122.67x = 9,184.50 × 1,963.23
  4. Step 4: Simplify right side
    6,122.67x = 18,031,285.94
  5. Step 5: Solve for x
    x = 18,031,285.94/6,122.67
  6. Step 6: Final answer
    x = 2,945.00

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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.