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Finding the Fourth Proportional to 8,227, 11,353.26 and 4,501

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Solution

The fourth proportional to 8,227, 11,353.26 and 4,501 is: 6,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227 : 11,353.26 = 4,501 : x
  2. Step 2: Convert to fraction form
    8,227/11,353.26 = 4,501/x
  3. Step 3: Cross multiply
    8,227x = 11,353.26 × 4,501
  4. Step 4: Simplify right side
    8,227x = 51,101,023.26
  5. Step 5: Solve for x
    x = 51,101,023.26/8,227
  6. Step 6: Final answer
    x = 6,211.38

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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.