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Finding the Fourth Proportional to 28,006.50, 41,994.90 and 8,282.33

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Solution

The fourth proportional to 28,006.50, 41,994.90 and 8,282.33 is: 12,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.50 : 41,994.90 = 8,282.33 : x
  2. Step 2: Convert to fraction form
    28,006.50/41,994.90 = 8,282.33/x
  3. Step 3: Cross multiply
    28,006.50x = 41,994.90 × 8,282.33
  4. Step 4: Simplify right side
    28,006.50x = 347,815,410.14
  5. Step 5: Solve for x
    x = 347,815,410.14/28,006.50
  6. Step 6: Final answer
    x = 12,419.10

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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.