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Finding the Fourth Proportional to 8,195.88, 12,294.36 and 2,352.54

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Solution

The fourth proportional to 8,195.88, 12,294.36 and 2,352.54 is: 3,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.88 : 12,294.36 = 2,352.54 : x
  2. Step 2: Convert to fraction form
    8,195.88/12,294.36 = 2,352.54/x
  3. Step 3: Cross multiply
    8,195.88x = 12,294.36 × 2,352.54
  4. Step 4: Simplify right side
    8,195.88x = 28,922,973.67
  5. Step 5: Solve for x
    x = 28,922,973.67/8,195.88
  6. Step 6: Final answer
    x = 3,528.97

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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.