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Finding the Fourth Proportional to 16,243.97, 24,346.32 and 7,911.50

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Solution

The fourth proportional to 16,243.97, 24,346.32 and 7,911.50 is: 11,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.97 : 24,346.32 = 7,911.50 : x
  2. Step 2: Convert to fraction form
    16,243.97/24,346.32 = 7,911.50/x
  3. Step 3: Cross multiply
    16,243.97x = 24,346.32 × 7,911.50
  4. Step 4: Simplify right side
    16,243.97x = 192,615,910.68
  5. Step 5: Solve for x
    x = 192,615,910.68/16,243.97
  6. Step 6: Final answer
    x = 11,857.69

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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.