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Finding the Fourth Proportional to 8,283.94, 12,428.96 and 3,843.73

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Solution

The fourth proportional to 8,283.94, 12,428.96 and 3,843.73 is: 5,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.94 : 12,428.96 = 3,843.73 : x
  2. Step 2: Convert to fraction form
    8,283.94/12,428.96 = 3,843.73/x
  3. Step 3: Cross multiply
    8,283.94x = 12,428.96 × 3,843.73
  4. Step 4: Simplify right side
    8,283.94x = 47,773,566.42
  5. Step 5: Solve for x
    x = 47,773,566.42/8,283.94
  6. Step 6: Final answer
    x = 5,767.01

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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.