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Finding the Fourth Proportional to 6,798.52, 10,196.62 and 1,867

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Solution

The fourth proportional to 6,798.52, 10,196.62 and 1,867 is: 2,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.52 : 10,196.62 = 1,867 : x
  2. Step 2: Convert to fraction form
    6,798.52/10,196.62 = 1,867/x
  3. Step 3: Cross multiply
    6,798.52x = 10,196.62 × 1,867
  4. Step 4: Simplify right side
    6,798.52x = 19,037,089.54
  5. Step 5: Solve for x
    x = 19,037,089.54/6,798.52
  6. Step 6: Final answer
    x = 2,800.18

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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.