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Finding the Fourth Proportional to 6,694.16, 9,239.77 and 4,174.79

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Solution

The fourth proportional to 6,694.16, 9,239.77 and 4,174.79 is: 5,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.16 : 9,239.77 = 4,174.79 : x
  2. Step 2: Convert to fraction form
    6,694.16/9,239.77 = 4,174.79/x
  3. Step 3: Cross multiply
    6,694.16x = 9,239.77 × 4,174.79
  4. Step 4: Simplify right side
    6,694.16x = 38,574,042.76
  5. Step 5: Solve for x
    x = 38,574,042.76/6,694.16
  6. Step 6: Final answer
    x = 5,762.34

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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.