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Finding the Fourth Proportional to 11,824.60, 16,310.94 and 7,576.60

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Solution

The fourth proportional to 11,824.60, 16,310.94 and 7,576.60 is: 10,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.60 : 16,310.94 = 7,576.60 : x
  2. Step 2: Convert to fraction form
    11,824.60/16,310.94 = 7,576.60/x
  3. Step 3: Cross multiply
    11,824.60x = 16,310.94 × 7,576.60
  4. Step 4: Simplify right side
    11,824.60x = 123,581,468.00
  5. Step 5: Solve for x
    x = 123,581,468.00/11,824.60
  6. Step 6: Final answer
    x = 10,451.22

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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.