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Finding the Fourth Proportional to 25,722.69, 38,591.32 and 8,193.88

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Solution

The fourth proportional to 25,722.69, 38,591.32 and 8,193.88 is: 12,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722.69 : 38,591.32 = 8,193.88 : x
  2. Step 2: Convert to fraction form
    25,722.69/38,591.32 = 8,193.88/x
  3. Step 3: Cross multiply
    25,722.69x = 38,591.32 × 8,193.88
  4. Step 4: Simplify right side
    25,722.69x = 316,212,645.12
  5. Step 5: Solve for x
    x = 316,212,645.12/25,722.69
  6. Step 6: Final answer
    x = 12,293.14

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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.