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Finding the Fourth Proportional to 6,949, 10,424.62 and 4,771.72

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Solution

The fourth proportional to 6,949, 10,424.62 and 4,771.72 is: 7,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949 : 10,424.62 = 4,771.72 : x
  2. Step 2: Convert to fraction form
    6,949/10,424.62 = 4,771.72/x
  3. Step 3: Cross multiply
    6,949x = 10,424.62 × 4,771.72
  4. Step 4: Simplify right side
    6,949x = 49,743,367.75
  5. Step 5: Solve for x
    x = 49,743,367.75/6,949
  6. Step 6: Final answer
    x = 7,158.35

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