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Finding the Fourth Proportional to 6,626.53, 9,939.74 and 1,696.15

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Solution

The fourth proportional to 6,626.53, 9,939.74 and 1,696.15 is: 2,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.53 : 9,939.74 = 1,696.15 : x
  2. Step 2: Convert to fraction form
    6,626.53/9,939.74 = 1,696.15/x
  3. Step 3: Cross multiply
    6,626.53x = 9,939.74 × 1,696.15
  4. Step 4: Simplify right side
    6,626.53x = 16,859,281.52
  5. Step 5: Solve for x
    x = 16,859,281.52/6,626.53
  6. Step 6: Final answer
    x = 2,544.21

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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.