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Finding the Fourth Proportional to 8,197.20, 12,294.48 and 2,352.48

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Solution

The fourth proportional to 8,197.20, 12,294.48 and 2,352.48 is: 3,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.20 : 12,294.48 = 2,352.48 : x
  2. Step 2: Convert to fraction form
    8,197.20/12,294.48 = 2,352.48/x
  3. Step 3: Cross multiply
    8,197.20x = 12,294.48 × 2,352.48
  4. Step 4: Simplify right side
    8,197.20x = 28,922,518.31
  5. Step 5: Solve for x
    x = 28,922,518.31/8,197.20
  6. Step 6: Final answer
    x = 3,528.34

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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.