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Finding the Fourth Proportional to 13,954.76, 19,257.74 and 7,667

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Solution

The fourth proportional to 13,954.76, 19,257.74 and 7,667 is: 10,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.76 : 19,257.74 = 7,667 : x
  2. Step 2: Convert to fraction form
    13,954.76/19,257.74 = 7,667/x
  3. Step 3: Cross multiply
    13,954.76x = 19,257.74 × 7,667
  4. Step 4: Simplify right side
    13,954.76x = 147,649,092.58
  5. Step 5: Solve for x
    x = 147,649,092.58/13,954.76
  6. Step 6: Final answer
    x = 10,580.55

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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.