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Finding the Fourth Proportional to 6,954, 9,596.53 and 3,767.32

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Solution

The fourth proportional to 6,954, 9,596.53 and 3,767.32 is: 5,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954 : 9,596.53 = 3,767.32 : x
  2. Step 2: Convert to fraction form
    6,954/9,596.53 = 3,767.32/x
  3. Step 3: Cross multiply
    6,954x = 9,596.53 × 3,767.32
  4. Step 4: Simplify right side
    6,954x = 36,153,199.40
  5. Step 5: Solve for x
    x = 36,153,199.40/6,954
  6. Step 6: Final answer
    x = 5,198.91

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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.