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Finding the Fourth Proportional to 6,568.31, 9,852.47 and 1,951.31

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Solution

The fourth proportional to 6,568.31, 9,852.47 and 1,951.31 is: 2,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.31 : 9,852.47 = 1,951.31 : x
  2. Step 2: Convert to fraction form
    6,568.31/9,852.47 = 1,951.31/x
  3. Step 3: Cross multiply
    6,568.31x = 9,852.47 × 1,951.31
  4. Step 4: Simplify right side
    6,568.31x = 19,225,245.43
  5. Step 5: Solve for x
    x = 19,225,245.43/6,568.31
  6. Step 6: Final answer
    x = 2,926.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.