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Finding the Fourth Proportional to 13,693.96, 18,889.14 and 8,101

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Solution

The fourth proportional to 13,693.96, 18,889.14 and 8,101 is: 11,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.96 : 18,889.14 = 8,101 : x
  2. Step 2: Convert to fraction form
    13,693.96/18,889.14 = 8,101/x
  3. Step 3: Cross multiply
    13,693.96x = 18,889.14 × 8,101
  4. Step 4: Simplify right side
    13,693.96x = 153,020,923.14
  5. Step 5: Solve for x
    x = 153,020,923.14/13,693.96
  6. Step 6: Final answer
    x = 11,174.34

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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.