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Finding the Fourth Proportional to 6,753.84, 9,321.50 and 4,238.12

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Solution

The fourth proportional to 6,753.84, 9,321.50 and 4,238.12 is: 5,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.84 : 9,321.50 = 4,238.12 : x
  2. Step 2: Convert to fraction form
    6,753.84/9,321.50 = 4,238.12/x
  3. Step 3: Cross multiply
    6,753.84x = 9,321.50 × 4,238.12
  4. Step 4: Simplify right side
    6,753.84x = 39,505,635.58
  5. Step 5: Solve for x
    x = 39,505,635.58/6,753.84
  6. Step 6: Final answer
    x = 5,849.36

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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.