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Finding the Fourth Proportional to 13,203.89, 19,794.99 and 6,180.48

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Solution

The fourth proportional to 13,203.89, 19,794.99 and 6,180.48 is: 9,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.89 : 19,794.99 = 6,180.48 : x
  2. Step 2: Convert to fraction form
    13,203.89/19,794.99 = 6,180.48/x
  3. Step 3: Cross multiply
    13,203.89x = 19,794.99 × 6,180.48
  4. Step 4: Simplify right side
    13,203.89x = 122,342,539.80
  5. Step 5: Solve for x
    x = 122,342,539.80/13,203.89
  6. Step 6: Final answer
    x = 9,265.65

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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.