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Finding the Fourth Proportional to 13,506.70, 20,257.70 and 6,109.43

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Solution

The fourth proportional to 13,506.70, 20,257.70 and 6,109.43 is: 9,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.70 : 20,257.70 = 6,109.43 : x
  2. Step 2: Convert to fraction form
    13,506.70/20,257.70 = 6,109.43/x
  3. Step 3: Cross multiply
    13,506.70x = 20,257.70 × 6,109.43
  4. Step 4: Simplify right side
    13,506.70x = 123,762,868.28
  5. Step 5: Solve for x
    x = 123,762,868.28/13,506.70
  6. Step 6: Final answer
    x = 9,163.07

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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.