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Finding the Fourth Proportional to 6,894.70, 9,512.36 and 4,241.14

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Solution

The fourth proportional to 6,894.70, 9,512.36 and 4,241.14 is: 5,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.70 : 9,512.36 = 4,241.14 : x
  2. Step 2: Convert to fraction form
    6,894.70/9,512.36 = 4,241.14/x
  3. Step 3: Cross multiply
    6,894.70x = 9,512.36 × 4,241.14
  4. Step 4: Simplify right side
    6,894.70x = 40,343,181.72
  5. Step 5: Solve for x
    x = 40,343,181.72/6,894.70
  6. Step 6: Final answer
    x = 5,851.34

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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.