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Finding the Fourth Proportional to 8,093.26, 11,167 and 4,735.43

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Solution

The fourth proportional to 8,093.26, 11,167 and 4,735.43 is: 6,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.26 : 11,167 = 4,735.43 : x
  2. Step 2: Convert to fraction form
    8,093.26/11,167 = 4,735.43/x
  3. Step 3: Cross multiply
    8,093.26x = 11,167 × 4,735.43
  4. Step 4: Simplify right side
    8,093.26x = 52,880,490.98
  5. Step 5: Solve for x
    x = 52,880,490.98/8,093.26
  6. Step 6: Final answer
    x = 6,533.89

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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.