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Finding the Fourth Proportional to 13,228.96, 19,824.96 and 6,201.44

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Solution

The fourth proportional to 13,228.96, 19,824.96 and 6,201.44 is: 9,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.96 : 19,824.96 = 6,201.44 : x
  2. Step 2: Convert to fraction form
    13,228.96/19,824.96 = 6,201.44/x
  3. Step 3: Cross multiply
    13,228.96x = 19,824.96 × 6,201.44
  4. Step 4: Simplify right side
    13,228.96x = 122,943,299.94
  5. Step 5: Solve for x
    x = 122,943,299.94/13,228.96
  6. Step 6: Final answer
    x = 9,293.50

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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.