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Finding the Fourth Proportional to 13,763.85, 18,993.75 and 7,796.10

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Solution

The fourth proportional to 13,763.85, 18,993.75 and 7,796.10 is: 10,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.85 : 18,993.75 = 7,796.10 : x
  2. Step 2: Convert to fraction form
    13,763.85/18,993.75 = 7,796.10/x
  3. Step 3: Cross multiply
    13,763.85x = 18,993.75 × 7,796.10
  4. Step 4: Simplify right side
    13,763.85x = 148,077,174.38
  5. Step 5: Solve for x
    x = 148,077,174.38/13,763.85
  6. Step 6: Final answer
    x = 10,758.41

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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.