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Finding the Fourth Proportional to 6,442.66, 9,664.83 and 1,825.78

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Solution

The fourth proportional to 6,442.66, 9,664.83 and 1,825.78 is: 2,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.66 : 9,664.83 = 1,825.78 : x
  2. Step 2: Convert to fraction form
    6,442.66/9,664.83 = 1,825.78/x
  3. Step 3: Cross multiply
    6,442.66x = 9,664.83 × 1,825.78
  4. Step 4: Simplify right side
    6,442.66x = 17,645,853.32
  5. Step 5: Solve for x
    x = 17,645,853.32/6,442.66
  6. Step 6: Final answer
    x = 2,738.91

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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.