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Finding the Fourth Proportional to 13,193.78, 19,794.11 and 5,799.69

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Solution

The fourth proportional to 13,193.78, 19,794.11 and 5,799.69 is: 8,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.78 : 19,794.11 = 5,799.69 : x
  2. Step 2: Convert to fraction form
    13,193.78/19,794.11 = 5,799.69/x
  3. Step 3: Cross multiply
    13,193.78x = 19,794.11 × 5,799.69
  4. Step 4: Simplify right side
    13,193.78x = 114,799,672.83
  5. Step 5: Solve for x
    x = 114,799,672.83/13,193.78
  6. Step 6: Final answer
    x = 8,701.05

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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.