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Finding the Fourth Proportional to 13,193.40, 19,793.40 and 9,305.40

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Solution

The fourth proportional to 13,193.40, 19,793.40 and 9,305.40 is: 13,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.40 : 19,793.40 = 9,305.40 : x
  2. Step 2: Convert to fraction form
    13,193.40/19,793.40 = 9,305.40/x
  3. Step 3: Cross multiply
    13,193.40x = 19,793.40 × 9,305.40
  4. Step 4: Simplify right side
    13,193.40x = 184,185,504.36
  5. Step 5: Solve for x
    x = 184,185,504.36/13,193.40
  6. Step 6: Final answer
    x = 13,960.43

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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.