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Finding the Fourth Proportional to 9,889.52, 13,648.77 and 5,912.82

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Solution

The fourth proportional to 9,889.52, 13,648.77 and 5,912.82 is: 8,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.52 : 13,648.77 = 5,912.82 : x
  2. Step 2: Convert to fraction form
    9,889.52/13,648.77 = 5,912.82/x
  3. Step 3: Cross multiply
    9,889.52x = 13,648.77 × 5,912.82
  4. Step 4: Simplify right side
    9,889.52x = 80,702,720.23
  5. Step 5: Solve for x
    x = 80,702,720.23/9,889.52
  6. Step 6: Final answer
    x = 8,160.43

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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.