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Finding the Fourth Proportional to 6,642.52, 9,963.74 and 2,025.52

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Solution

The fourth proportional to 6,642.52, 9,963.74 and 2,025.52 is: 3,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.52 : 9,963.74 = 2,025.52 : x
  2. Step 2: Convert to fraction form
    6,642.52/9,963.74 = 2,025.52/x
  3. Step 3: Cross multiply
    6,642.52x = 9,963.74 × 2,025.52
  4. Step 4: Simplify right side
    6,642.52x = 20,181,754.64
  5. Step 5: Solve for x
    x = 20,181,754.64/6,642.52
  6. Step 6: Final answer
    x = 3,038.27

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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.