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Finding the Fourth Proportional to 10,959.56, 16,440.94 and 5,765.80

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Solution

The fourth proportional to 10,959.56, 16,440.94 and 5,765.80 is: 8,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.56 : 16,440.94 = 5,765.80 : x
  2. Step 2: Convert to fraction form
    10,959.56/16,440.94 = 5,765.80/x
  3. Step 3: Cross multiply
    10,959.56x = 16,440.94 × 5,765.80
  4. Step 4: Simplify right side
    10,959.56x = 94,795,171.85
  5. Step 5: Solve for x
    x = 94,795,171.85/10,959.56
  6. Step 6: Final answer
    x = 8,649.54

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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.