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Finding the Fourth Proportional to 6,846.49, 10,268.50 and 1,914.91

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Solution

The fourth proportional to 6,846.49, 10,268.50 and 1,914.91 is: 2,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.49 : 10,268.50 = 1,914.91 : x
  2. Step 2: Convert to fraction form
    6,846.49/10,268.50 = 1,914.91/x
  3. Step 3: Cross multiply
    6,846.49x = 10,268.50 × 1,914.91
  4. Step 4: Simplify right side
    6,846.49x = 19,663,253.34
  5. Step 5: Solve for x
    x = 19,663,253.34/6,846.49
  6. Step 6: Final answer
    x = 2,872.02

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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.