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Finding the Fourth Proportional to 12,201.80, 18,289.26 and 7,983.30

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Solution

The fourth proportional to 12,201.80, 18,289.26 and 7,983.30 is: 11,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.80 : 18,289.26 = 7,983.30 : x
  2. Step 2: Convert to fraction form
    12,201.80/18,289.26 = 7,983.30/x
  3. Step 3: Cross multiply
    12,201.80x = 18,289.26 × 7,983.30
  4. Step 4: Simplify right side
    12,201.80x = 146,008,649.36
  5. Step 5: Solve for x
    x = 146,008,649.36/12,201.80
  6. Step 6: Final answer
    x = 11,966.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.