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Finding the Fourth Proportional to 6,906.30, 9,532.84 and 3,924.12

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Solution

The fourth proportional to 6,906.30, 9,532.84 and 3,924.12 is: 5,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.30 : 9,532.84 = 3,924.12 : x
  2. Step 2: Convert to fraction form
    6,906.30/9,532.84 = 3,924.12/x
  3. Step 3: Cross multiply
    6,906.30x = 9,532.84 × 3,924.12
  4. Step 4: Simplify right side
    6,906.30x = 37,408,008.10
  5. Step 5: Solve for x
    x = 37,408,008.10/6,906.30
  6. Step 6: Final answer
    x = 5,416.50

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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.