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Finding the Fourth Proportional to 25,800.96, 38,706.91 and 8,283.09

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Solution

The fourth proportional to 25,800.96, 38,706.91 and 8,283.09 is: 12,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.96 : 38,706.91 = 8,283.09 : x
  2. Step 2: Convert to fraction form
    25,800.96/38,706.91 = 8,283.09/x
  3. Step 3: Cross multiply
    25,800.96x = 38,706.91 × 8,283.09
  4. Step 4: Simplify right side
    25,800.96x = 320,612,819.15
  5. Step 5: Solve for x
    x = 320,612,819.15/25,800.96
  6. Step 6: Final answer
    x = 12,426.39

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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.