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Finding the Fourth Proportional to 7,177, 9,904.66 and 4,033.38

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Solution

The fourth proportional to 7,177, 9,904.66 and 4,033.38 is: 5,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177 : 9,904.66 = 4,033.38 : x
  2. Step 2: Convert to fraction form
    7,177/9,904.66 = 4,033.38/x
  3. Step 3: Cross multiply
    7,177x = 9,904.66 × 4,033.38
  4. Step 4: Simplify right side
    7,177x = 39,949,257.55
  5. Step 5: Solve for x
    x = 39,949,257.55/7,177
  6. Step 6: Final answer
    x = 5,566.29

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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.