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Finding the Fourth Proportional to 6,951.09, 10,416.15 and 4,174.71

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Solution

The fourth proportional to 6,951.09, 10,416.15 and 4,174.71 is: 6,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.09 : 10,416.15 = 4,174.71 : x
  2. Step 2: Convert to fraction form
    6,951.09/10,416.15 = 4,174.71/x
  3. Step 3: Cross multiply
    6,951.09x = 10,416.15 × 4,174.71
  4. Step 4: Simplify right side
    6,951.09x = 43,484,405.57
  5. Step 5: Solve for x
    x = 43,484,405.57/6,951.09
  6. Step 6: Final answer
    x = 6,255.77

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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.