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Finding the Fourth Proportional to 8,001.86, 11,993.04 and 5,662.51

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Solution

The fourth proportional to 8,001.86, 11,993.04 and 5,662.51 is: 8,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.86 : 11,993.04 = 5,662.51 : x
  2. Step 2: Convert to fraction form
    8,001.86/11,993.04 = 5,662.51/x
  3. Step 3: Cross multiply
    8,001.86x = 11,993.04 × 5,662.51
  4. Step 4: Simplify right side
    8,001.86x = 67,910,663.02
  5. Step 5: Solve for x
    x = 67,910,663.02/8,001.86
  6. Step 6: Final answer
    x = 8,486.86

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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.