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Finding the Fourth Proportional to 28,546.40, 42,822.80 and 8,824.80

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Solution

The fourth proportional to 28,546.40, 42,822.80 and 8,824.80 is: 13,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546.40 : 42,822.80 = 8,824.80 : x
  2. Step 2: Convert to fraction form
    28,546.40/42,822.80 = 8,824.80/x
  3. Step 3: Cross multiply
    28,546.40x = 42,822.80 × 8,824.80
  4. Step 4: Simplify right side
    28,546.40x = 377,902,645.44
  5. Step 5: Solve for x
    x = 377,902,645.44/28,546.40
  6. Step 6: Final answer
    x = 13,238.19

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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.