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Finding the Fourth Proportional to 8,378.55, 12,568.12 and 4,216.30

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Solution

The fourth proportional to 8,378.55, 12,568.12 and 4,216.30 is: 6,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.55 : 12,568.12 = 4,216.30 : x
  2. Step 2: Convert to fraction form
    8,378.55/12,568.12 = 4,216.30/x
  3. Step 3: Cross multiply
    8,378.55x = 12,568.12 × 4,216.30
  4. Step 4: Simplify right side
    8,378.55x = 52,990,922.39
  5. Step 5: Solve for x
    x = 52,990,922.39/8,378.55
  6. Step 6: Final answer
    x = 6,324.59

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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.