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Finding the Fourth Proportional to 12,201.44, 16,837.86 and 7,164.74

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Solution

The fourth proportional to 12,201.44, 16,837.86 and 7,164.74 is: 9,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.44 : 16,837.86 = 7,164.74 : x
  2. Step 2: Convert to fraction form
    12,201.44/16,837.86 = 7,164.74/x
  3. Step 3: Cross multiply
    12,201.44x = 16,837.86 × 7,164.74
  4. Step 4: Simplify right side
    12,201.44x = 120,638,889.06
  5. Step 5: Solve for x
    x = 120,638,889.06/12,201.44
  6. Step 6: Final answer
    x = 9,887.27

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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.