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Finding the Fourth Proportional to 6,983.01, 9,644.78 and 4,621.05

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Solution

The fourth proportional to 6,983.01, 9,644.78 and 4,621.05 is: 6,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.01 : 9,644.78 = 4,621.05 : x
  2. Step 2: Convert to fraction form
    6,983.01/9,644.78 = 4,621.05/x
  3. Step 3: Cross multiply
    6,983.01x = 9,644.78 × 4,621.05
  4. Step 4: Simplify right side
    6,983.01x = 44,569,022.17
  5. Step 5: Solve for x
    x = 44,569,022.17/6,983.01
  6. Step 6: Final answer
    x = 6,382.49

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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.