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Finding the Fourth Proportional to 28,009, 41,998.65 and 8,284.83

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Solution

The fourth proportional to 28,009, 41,998.65 and 8,284.83 is: 12,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,009 : 41,998.65 = 8,284.83 : x
  2. Step 2: Convert to fraction form
    28,009/41,998.65 = 8,284.83/x
  3. Step 3: Cross multiply
    28,009x = 41,998.65 × 8,284.83
  4. Step 4: Simplify right side
    28,009x = 347,951,675.48
  5. Step 5: Solve for x
    x = 347,951,675.48/28,009
  6. Step 6: Final answer
    x = 12,422.85

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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.