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Finding the Fourth Proportional to 6,033, 9,055.74 and 3,694.62

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Solution

The fourth proportional to 6,033, 9,055.74 and 3,694.62 is: 5,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033 : 9,055.74 = 3,694.62 : x
  2. Step 2: Convert to fraction form
    6,033/9,055.74 = 3,694.62/x
  3. Step 3: Cross multiply
    6,033x = 9,055.74 × 3,694.62
  4. Step 4: Simplify right side
    6,033x = 33,457,518.12
  5. Step 5: Solve for x
    x = 33,457,518.12/6,033
  6. Step 6: Final answer
    x = 5,545.75

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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.