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Finding the Fourth Proportional to 6,994.97, 9,653.06 and 3,851.16

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Solution

The fourth proportional to 6,994.97, 9,653.06 and 3,851.16 is: 5,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.97 : 9,653.06 = 3,851.16 : x
  2. Step 2: Convert to fraction form
    6,994.97/9,653.06 = 3,851.16/x
  3. Step 3: Cross multiply
    6,994.97x = 9,653.06 × 3,851.16
  4. Step 4: Simplify right side
    6,994.97x = 37,175,451.98
  5. Step 5: Solve for x
    x = 37,175,451.98/6,994.97
  6. Step 6: Final answer
    x = 5,314.60

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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.