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Finding the Fourth Proportional to 6,202.62, 8,564.67 and 4,219.74

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Solution

The fourth proportional to 6,202.62, 8,564.67 and 4,219.74 is: 5,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.62 : 8,564.67 = 4,219.74 : x
  2. Step 2: Convert to fraction form
    6,202.62/8,564.67 = 4,219.74/x
  3. Step 3: Cross multiply
    6,202.62x = 8,564.67 × 4,219.74
  4. Step 4: Simplify right side
    6,202.62x = 36,140,680.59
  5. Step 5: Solve for x
    x = 36,140,680.59/6,202.62
  6. Step 6: Final answer
    x = 5,826.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.