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Finding the Fourth Proportional to 6,626.80, 9,940.13 and 1,696.40

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Solution

The fourth proportional to 6,626.80, 9,940.13 and 1,696.40 is: 2,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.80 : 9,940.13 = 1,696.40 : x
  2. Step 2: Convert to fraction form
    6,626.80/9,940.13 = 1,696.40/x
  3. Step 3: Cross multiply
    6,626.80x = 9,940.13 × 1,696.40
  4. Step 4: Simplify right side
    6,626.80x = 16,862,436.53
  5. Step 5: Solve for x
    x = 16,862,436.53/6,626.80
  6. Step 6: Final answer
    x = 2,544.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.