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Finding the Fourth Proportional to 6,537.81, 9,806.69 and 1,857.82

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Solution

The fourth proportional to 6,537.81, 9,806.69 and 1,857.82 is: 2,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.81 : 9,806.69 = 1,857.82 : x
  2. Step 2: Convert to fraction form
    6,537.81/9,806.69 = 1,857.82/x
  3. Step 3: Cross multiply
    6,537.81x = 9,806.69 × 1,857.82
  4. Step 4: Simplify right side
    6,537.81x = 18,219,064.82
  5. Step 5: Solve for x
    x = 18,219,064.82/6,537.81
  6. Step 6: Final answer
    x = 2,786.72

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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.