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Finding the Fourth Proportional to 6,374.66, 9,568.06 and 2,675.89

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Solution

The fourth proportional to 6,374.66, 9,568.06 and 2,675.89 is: 4,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.66 : 9,568.06 = 2,675.89 : x
  2. Step 2: Convert to fraction form
    6,374.66/9,568.06 = 2,675.89/x
  3. Step 3: Cross multiply
    6,374.66x = 9,568.06 × 2,675.89
  4. Step 4: Simplify right side
    6,374.66x = 25,603,076.07
  5. Step 5: Solve for x
    x = 25,603,076.07/6,374.66
  6. Step 6: Final answer
    x = 4,016.38

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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.