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Finding the Fourth Proportional to 6,555.41, 9,827.91 and 3,434.81

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Solution

The fourth proportional to 6,555.41, 9,827.91 and 3,434.81 is: 5,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.41 : 9,827.91 = 3,434.81 : x
  2. Step 2: Convert to fraction form
    6,555.41/9,827.91 = 3,434.81/x
  3. Step 3: Cross multiply
    6,555.41x = 9,827.91 × 3,434.81
  4. Step 4: Simplify right side
    6,555.41x = 33,757,028.12
  5. Step 5: Solve for x
    x = 33,757,028.12/6,555.41
  6. Step 6: Final answer
    x = 5,149.50

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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.