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Finding the Fourth Proportional to 6,155.94, 9,224.43 and 4,179

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Solution

The fourth proportional to 6,155.94, 9,224.43 and 4,179 is: 6,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.94 : 9,224.43 = 4,179 : x
  2. Step 2: Convert to fraction form
    6,155.94/9,224.43 = 4,179/x
  3. Step 3: Cross multiply
    6,155.94x = 9,224.43 × 4,179
  4. Step 4: Simplify right side
    6,155.94x = 38,548,892.97
  5. Step 5: Solve for x
    x = 38,548,892.97/6,155.94
  6. Step 6: Final answer
    x = 6,262.06

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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.