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Finding the Fourth Proportional to 16,001.96, 23,998.60 and 8,213

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Solution

The fourth proportional to 16,001.96, 23,998.60 and 8,213 is: 12,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.96 : 23,998.60 = 8,213 : x
  2. Step 2: Convert to fraction form
    16,001.96/23,998.60 = 8,213/x
  3. Step 3: Cross multiply
    16,001.96x = 23,998.60 × 8,213
  4. Step 4: Simplify right side
    16,001.96x = 197,100,501.80
  5. Step 5: Solve for x
    x = 197,100,501.80/16,001.96
  6. Step 6: Final answer
    x = 12,317.27

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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.