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Finding the Fourth Proportional to 13,193, 18,206.34 and 7,604.36

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Solution

The fourth proportional to 13,193, 18,206.34 and 7,604.36 is: 10,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193 : 18,206.34 = 7,604.36 : x
  2. Step 2: Convert to fraction form
    13,193/18,206.34 = 7,604.36/x
  3. Step 3: Cross multiply
    13,193x = 18,206.34 × 7,604.36
  4. Step 4: Simplify right side
    13,193x = 138,447,563.64
  5. Step 5: Solve for x
    x = 138,447,563.64/13,193
  6. Step 6: Final answer
    x = 10,494.02

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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.