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Finding the Fourth Proportional to 6,568.70, 9,060.31 and 3,914.06

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Solution

The fourth proportional to 6,568.70, 9,060.31 and 3,914.06 is: 5,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.70 : 9,060.31 = 3,914.06 : x
  2. Step 2: Convert to fraction form
    6,568.70/9,060.31 = 3,914.06/x
  3. Step 3: Cross multiply
    6,568.70x = 9,060.31 × 3,914.06
  4. Step 4: Simplify right side
    6,568.70x = 35,462,609.82
  5. Step 5: Solve for x
    x = 35,462,609.82/6,568.70
  6. Step 6: Final answer
    x = 5,398.72

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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.