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Finding the Fourth Proportional to 6,557.49, 9,834.69 and 1,877.43

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Solution

The fourth proportional to 6,557.49, 9,834.69 and 1,877.43 is: 2,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.49 : 9,834.69 = 1,877.43 : x
  2. Step 2: Convert to fraction form
    6,557.49/9,834.69 = 1,877.43/x
  3. Step 3: Cross multiply
    6,557.49x = 9,834.69 × 1,877.43
  4. Step 4: Simplify right side
    6,557.49x = 18,463,942.05
  5. Step 5: Solve for x
    x = 18,463,942.05/6,557.49
  6. Step 6: Final answer
    x = 2,815.70

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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.