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Finding the Fourth Proportional to 6,257.61, 8,644.37 and 5,006.97

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Solution

The fourth proportional to 6,257.61, 8,644.37 and 5,006.97 is: 6,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.61 : 8,644.37 = 5,006.97 : x
  2. Step 2: Convert to fraction form
    6,257.61/8,644.37 = 5,006.97/x
  3. Step 3: Cross multiply
    6,257.61x = 8,644.37 × 5,006.97
  4. Step 4: Simplify right side
    6,257.61x = 43,282,076.22
  5. Step 5: Solve for x
    x = 43,282,076.22/6,257.61
  6. Step 6: Final answer
    x = 6,916.71

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1.5x scale

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.