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Finding the Fourth Proportional to 6,670.58, 9,205.75 and 3,838.38

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Solution

The fourth proportional to 6,670.58, 9,205.75 and 3,838.38 is: 5,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.58 : 9,205.75 = 3,838.38 : x
  2. Step 2: Convert to fraction form
    6,670.58/9,205.75 = 3,838.38/x
  3. Step 3: Cross multiply
    6,670.58x = 9,205.75 × 3,838.38
  4. Step 4: Simplify right side
    6,670.58x = 35,335,189.70
  5. Step 5: Solve for x
    x = 35,335,189.70/6,670.58
  6. Step 6: Final answer
    x = 5,297.17

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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.