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Finding the Fourth Proportional to 6,187.56, 9,264.90 and 4,434.54

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Solution

The fourth proportional to 6,187.56, 9,264.90 and 4,434.54 is: 6,640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.56 : 9,264.90 = 4,434.54 : x
  2. Step 2: Convert to fraction form
    6,187.56/9,264.90 = 4,434.54/x
  3. Step 3: Cross multiply
    6,187.56x = 9,264.90 × 4,434.54
  4. Step 4: Simplify right side
    6,187.56x = 41,085,569.65
  5. Step 5: Solve for x
    x = 41,085,569.65/6,187.56
  6. Step 6: Final answer
    x = 6,640.03

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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.