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Finding the Fourth Proportional to 13,743, 18,965.34 and 7,455.38

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Solution

The fourth proportional to 13,743, 18,965.34 and 7,455.38 is: 10,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743 : 18,965.34 = 7,455.38 : x
  2. Step 2: Convert to fraction form
    13,743/18,965.34 = 7,455.38/x
  3. Step 3: Cross multiply
    13,743x = 18,965.34 × 7,455.38
  4. Step 4: Simplify right side
    13,743x = 141,393,721.70
  5. Step 5: Solve for x
    x = 141,393,721.70/13,743
  6. Step 6: Final answer
    x = 10,288.42

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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.