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Finding the Fourth Proportional to 6,951.36, 9,590.48 and 3,965.04

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Solution

The fourth proportional to 6,951.36, 9,590.48 and 3,965.04 is: 5,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.36 : 9,590.48 = 3,965.04 : x
  2. Step 2: Convert to fraction form
    6,951.36/9,590.48 = 3,965.04/x
  3. Step 3: Cross multiply
    6,951.36x = 9,590.48 × 3,965.04
  4. Step 4: Simplify right side
    6,951.36x = 38,026,636.82
  5. Step 5: Solve for x
    x = 38,026,636.82/6,951.36
  6. Step 6: Final answer
    x = 5,470.39

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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.