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Finding the Fourth Proportional to 9,344.14, 13,987.50 and 8,015.54

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Solution

The fourth proportional to 9,344.14, 13,987.50 and 8,015.54 is: 11,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.14 : 13,987.50 = 8,015.54 : x
  2. Step 2: Convert to fraction form
    9,344.14/13,987.50 = 8,015.54/x
  3. Step 3: Cross multiply
    9,344.14x = 13,987.50 × 8,015.54
  4. Step 4: Simplify right side
    9,344.14x = 112,117,365.75
  5. Step 5: Solve for x
    x = 112,117,365.75/9,344.14
  6. Step 6: Final answer
    x = 11,998.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.