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Finding the Fourth Proportional to 8,109.20, 12,163.80 and 1,953.20

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Solution

The fourth proportional to 8,109.20, 12,163.80 and 1,953.20 is: 2,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.20 : 12,163.80 = 1,953.20 : x
  2. Step 2: Convert to fraction form
    8,109.20/12,163.80 = 1,953.20/x
  3. Step 3: Cross multiply
    8,109.20x = 12,163.80 × 1,953.20
  4. Step 4: Simplify right side
    8,109.20x = 23,758,273.34
  5. Step 5: Solve for x
    x = 23,758,273.34/8,109.20
  6. Step 6: Final answer
    x = 2,929.79

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Similar ratio
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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.