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Finding the Fourth Proportional to 8,314.80, 12,461.44 and 3,378.71

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Solution

The fourth proportional to 8,314.80, 12,461.44 and 3,378.71 is: 5,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.80 : 12,461.44 = 3,378.71 : x
  2. Step 2: Convert to fraction form
    8,314.80/12,461.44 = 3,378.71/x
  3. Step 3: Cross multiply
    8,314.80x = 12,461.44 × 3,378.71
  4. Step 4: Simplify right side
    8,314.80x = 42,103,591.94
  5. Step 5: Solve for x
    x = 42,103,591.94/8,314.80
  6. Step 6: Final answer
    x = 5,063.69

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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.