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Finding the Fourth Proportional to 6,994.52, 9,694 and 6,863.28

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Solution

The fourth proportional to 6,994.52, 9,694 and 6,863.28 is: 9,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.52 : 9,694 = 6,863.28 : x
  2. Step 2: Convert to fraction form
    6,994.52/9,694 = 6,863.28/x
  3. Step 3: Cross multiply
    6,994.52x = 9,694 × 6,863.28
  4. Step 4: Simplify right side
    6,994.52x = 66,532,636.32
  5. Step 5: Solve for x
    x = 66,532,636.32/6,994.52
  6. Step 6: Final answer
    x = 9,512.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.