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Finding the Fourth Proportional to 6,853.70, 10,274.25 and 2,470.09

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Solution

The fourth proportional to 6,853.70, 10,274.25 and 2,470.09 is: 3,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.70 : 10,274.25 = 2,470.09 : x
  2. Step 2: Convert to fraction form
    6,853.70/10,274.25 = 2,470.09/x
  3. Step 3: Cross multiply
    6,853.70x = 10,274.25 × 2,470.09
  4. Step 4: Simplify right side
    6,853.70x = 25,378,270.81
  5. Step 5: Solve for x
    x = 25,378,270.81/6,853.70
  6. Step 6: Final answer
    x = 3,702.86

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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.