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Finding the Fourth Proportional to 13,193.87, 19,797.64 and 7,576.01

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Solution

The fourth proportional to 13,193.87, 19,797.64 and 7,576.01 is: 11,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.87 : 19,797.64 = 7,576.01 : x
  2. Step 2: Convert to fraction form
    13,193.87/19,797.64 = 7,576.01/x
  3. Step 3: Cross multiply
    13,193.87x = 19,797.64 × 7,576.01
  4. Step 4: Simplify right side
    13,193.87x = 149,987,118.62
  5. Step 5: Solve for x
    x = 149,987,118.62/13,193.87
  6. Step 6: Final answer
    x = 11,367.94

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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.