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Finding the Fourth Proportional to 6,825.94, 10,238.50 and 6,641.26

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Solution

The fourth proportional to 6,825.94, 10,238.50 and 6,641.26 is: 9,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.94 : 10,238.50 = 6,641.26 : x
  2. Step 2: Convert to fraction form
    6,825.94/10,238.50 = 6,641.26/x
  3. Step 3: Cross multiply
    6,825.94x = 10,238.50 × 6,641.26
  4. Step 4: Simplify right side
    6,825.94x = 67,996,540.51
  5. Step 5: Solve for x
    x = 67,996,540.51/6,825.94
  6. Step 6: Final answer
    x = 9,961.49

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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.