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Finding the Fourth Proportional to 5,471.49, 8,193.06 and 3,984.60

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Solution

The fourth proportional to 5,471.49, 8,193.06 and 3,984.60 is: 5,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.49 : 8,193.06 = 3,984.60 : x
  2. Step 2: Convert to fraction form
    5,471.49/8,193.06 = 3,984.60/x
  3. Step 3: Cross multiply
    5,471.49x = 8,193.06 × 3,984.60
  4. Step 4: Simplify right side
    5,471.49x = 32,646,066.88
  5. Step 5: Solve for x
    x = 32,646,066.88/5,471.49
  6. Step 6: Final answer
    x = 5,966.58

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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.