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Finding the Fourth Proportional to 6,484.26, 8,951.31 and 4,246.23

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Solution

The fourth proportional to 6,484.26, 8,951.31 and 4,246.23 is: 5,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.26 : 8,951.31 = 4,246.23 : x
  2. Step 2: Convert to fraction form
    6,484.26/8,951.31 = 4,246.23/x
  3. Step 3: Cross multiply
    6,484.26x = 8,951.31 × 4,246.23
  4. Step 4: Simplify right side
    6,484.26x = 38,009,321.06
  5. Step 5: Solve for x
    x = 38,009,321.06/6,484.26
  6. Step 6: Final answer
    x = 5,861.78

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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.