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Finding the Fourth Proportional to 6,194, 8,548.02 and 3,675.56

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Solution

The fourth proportional to 6,194, 8,548.02 and 3,675.56 is: 5,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 8,548.02 = 3,675.56 : x
  2. Step 2: Convert to fraction form
    6,194/8,548.02 = 3,675.56/x
  3. Step 3: Cross multiply
    6,194x = 8,548.02 × 3,675.56
  4. Step 4: Simplify right side
    6,194x = 31,418,760.39
  5. Step 5: Solve for x
    x = 31,418,760.39/6,194
  6. Step 6: Final answer
    x = 5,072.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.