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Finding the Fourth Proportional to 22,005.86, 33,010.74 and 6,211

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Solution

The fourth proportional to 22,005.86, 33,010.74 and 6,211 is: 9,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.86 : 33,010.74 = 6,211 : x
  2. Step 2: Convert to fraction form
    22,005.86/33,010.74 = 6,211/x
  3. Step 3: Cross multiply
    22,005.86x = 33,010.74 × 6,211
  4. Step 4: Simplify right side
    22,005.86x = 205,029,706.14
  5. Step 5: Solve for x
    x = 205,029,706.14/22,005.86
  6. Step 6: Final answer
    x = 9,317.05

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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.