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Finding the Fourth Proportional to 6,366.94, 8,789.34 and 4,246

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Solution

The fourth proportional to 6,366.94, 8,789.34 and 4,246 is: 5,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.94 : 8,789.34 = 4,246 : x
  2. Step 2: Convert to fraction form
    6,366.94/8,789.34 = 4,246/x
  3. Step 3: Cross multiply
    6,366.94x = 8,789.34 × 4,246
  4. Step 4: Simplify right side
    6,366.94x = 37,319,537.64
  5. Step 5: Solve for x
    x = 37,319,537.64/6,366.94
  6. Step 6: Final answer
    x = 5,861.46

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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.