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Finding the Fourth Proportional to 6,696, 9,241.68 and 4,541.64

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Solution

The fourth proportional to 6,696, 9,241.68 and 4,541.64 is: 6,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696 : 9,241.68 = 4,541.64 : x
  2. Step 2: Convert to fraction form
    6,696/9,241.68 = 4,541.64/x
  3. Step 3: Cross multiply
    6,696x = 9,241.68 × 4,541.64
  4. Step 4: Simplify right side
    6,696x = 41,972,383.56
  5. Step 5: Solve for x
    x = 41,972,383.56/6,696
  6. Step 6: Final answer
    x = 6,268.28

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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.