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Finding the Fourth Proportional to 11,738.95, 16,201.88 and 7,491.31

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Solution

The fourth proportional to 11,738.95, 16,201.88 and 7,491.31 is: 10,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.95 : 16,201.88 = 7,491.31 : x
  2. Step 2: Convert to fraction form
    11,738.95/16,201.88 = 7,491.31/x
  3. Step 3: Cross multiply
    11,738.95x = 16,201.88 × 7,491.31
  4. Step 4: Simplify right side
    11,738.95x = 121,373,305.66
  5. Step 5: Solve for x
    x = 121,373,305.66/11,738.95
  6. Step 6: Final answer
    x = 10,339.37

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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.