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Finding the Fourth Proportional to 13,762.38, 18,992.16 and 8,097.34

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Solution

The fourth proportional to 13,762.38, 18,992.16 and 8,097.34 is: 11,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.38 : 18,992.16 = 8,097.34 : x
  2. Step 2: Convert to fraction form
    13,762.38/18,992.16 = 8,097.34/x
  3. Step 3: Cross multiply
    13,762.38x = 18,992.16 × 8,097.34
  4. Step 4: Simplify right side
    13,762.38x = 153,785,976.85
  5. Step 5: Solve for x
    x = 153,785,976.85/13,762.38
  6. Step 6: Final answer
    x = 11,174.37

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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.