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Finding the Fourth Proportional to 6,342.62, 8,744.43 and 5,204.12

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Solution

The fourth proportional to 6,342.62, 8,744.43 and 5,204.12 is: 7,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.62 : 8,744.43 = 5,204.12 : x
  2. Step 2: Convert to fraction form
    6,342.62/8,744.43 = 5,204.12/x
  3. Step 3: Cross multiply
    6,342.62x = 8,744.43 × 5,204.12
  4. Step 4: Simplify right side
    6,342.62x = 45,507,037.03
  5. Step 5: Solve for x
    x = 45,507,037.03/6,342.62
  6. Step 6: Final answer
    x = 7,174.80

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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.