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Finding the Fourth Proportional to 6,857.70, 10,286.52 and 1,663.59

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Solution

The fourth proportional to 6,857.70, 10,286.52 and 1,663.59 is: 2,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.70 : 10,286.52 = 1,663.59 : x
  2. Step 2: Convert to fraction form
    6,857.70/10,286.52 = 1,663.59/x
  3. Step 3: Cross multiply
    6,857.70x = 10,286.52 × 1,663.59
  4. Step 4: Simplify right side
    6,857.70x = 17,112,551.81
  5. Step 5: Solve for x
    x = 17,112,551.81/6,857.70
  6. Step 6: Final answer
    x = 2,495.38

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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.