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Finding the Fourth Proportional to 6,357.14, 9,535.94 and 1,974.49

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Solution

The fourth proportional to 6,357.14, 9,535.94 and 1,974.49 is: 2,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.14 : 9,535.94 = 1,974.49 : x
  2. Step 2: Convert to fraction form
    6,357.14/9,535.94 = 1,974.49/x
  3. Step 3: Cross multiply
    6,357.14x = 9,535.94 × 1,974.49
  4. Step 4: Simplify right side
    6,357.14x = 18,828,599.27
  5. Step 5: Solve for x
    x = 18,828,599.27/6,357.14
  6. Step 6: Final answer
    x = 2,961.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.