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Finding the Fourth Proportional to 8,219.80, 12,329.70 and 3,027.70

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Solution

The fourth proportional to 8,219.80, 12,329.70 and 3,027.70 is: 4,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.80 : 12,329.70 = 3,027.70 : x
  2. Step 2: Convert to fraction form
    8,219.80/12,329.70 = 3,027.70/x
  3. Step 3: Cross multiply
    8,219.80x = 12,329.70 × 3,027.70
  4. Step 4: Simplify right side
    8,219.80x = 37,330,632.69
  5. Step 5: Solve for x
    x = 37,330,632.69/8,219.80
  6. Step 6: Final answer
    x = 4,541.55

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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.