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Finding the Fourth Proportional to 13,763.70, 18,992.97 and 7,475.94

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Solution

The fourth proportional to 13,763.70, 18,992.97 and 7,475.94 is: 10,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.70 : 18,992.97 = 7,475.94 : x
  2. Step 2: Convert to fraction form
    13,763.70/18,992.97 = 7,475.94/x
  3. Step 3: Cross multiply
    13,763.70x = 18,992.97 × 7,475.94
  4. Step 4: Simplify right side
    13,763.70x = 141,990,304.14
  5. Step 5: Solve for x
    x = 141,990,304.14/13,763.70
  6. Step 6: Final answer
    x = 10,316.29

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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.