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Finding the Fourth Proportional to 7,098.48, 9,794.64 and 3,954

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Solution

The fourth proportional to 7,098.48, 9,794.64 and 3,954 is: 5,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.48 : 9,794.64 = 3,954 : x
  2. Step 2: Convert to fraction form
    7,098.48/9,794.64 = 3,954/x
  3. Step 3: Cross multiply
    7,098.48x = 9,794.64 × 3,954
  4. Step 4: Simplify right side
    7,098.48x = 38,728,006.56
  5. Step 5: Solve for x
    x = 38,728,006.56/7,098.48
  6. Step 6: Final answer
    x = 5,455.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.