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Finding the Fourth Proportional to 6,222.35, 8,584.02 and 4,205.09

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Solution

The fourth proportional to 6,222.35, 8,584.02 and 4,205.09 is: 5,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.35 : 8,584.02 = 4,205.09 : x
  2. Step 2: Convert to fraction form
    6,222.35/8,584.02 = 4,205.09/x
  3. Step 3: Cross multiply
    6,222.35x = 8,584.02 × 4,205.09
  4. Step 4: Simplify right side
    6,222.35x = 36,096,533.74
  5. Step 5: Solve for x
    x = 36,096,533.74/6,222.35
  6. Step 6: Final answer
    x = 5,801.11

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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.