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Finding the Fourth Proportional to 8,623.59, 11,896.16 and 5,791.59

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Solution

The fourth proportional to 8,623.59, 11,896.16 and 5,791.59 is: 7,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.59 : 11,896.16 = 5,791.59 : x
  2. Step 2: Convert to fraction form
    8,623.59/11,896.16 = 5,791.59/x
  3. Step 3: Cross multiply
    8,623.59x = 11,896.16 × 5,791.59
  4. Step 4: Simplify right side
    8,623.59x = 68,897,652.34
  5. Step 5: Solve for x
    x = 68,897,652.34/8,623.59
  6. Step 6: Final answer
    x = 7,989.44

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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.