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Finding the Fourth Proportional to 6,205.04, 8,567 and 3,850.64

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Solution

The fourth proportional to 6,205.04, 8,567 and 3,850.64 is: 5,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.04 : 8,567 = 3,850.64 : x
  2. Step 2: Convert to fraction form
    6,205.04/8,567 = 3,850.64/x
  3. Step 3: Cross multiply
    6,205.04x = 8,567 × 3,850.64
  4. Step 4: Simplify right side
    6,205.04x = 32,988,432.88
  5. Step 5: Solve for x
    x = 32,988,432.88/6,205.04
  6. Step 6: Final answer
    x = 5,316.39

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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.