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Finding the Fourth Proportional to 9,231.64, 13,846.10 and 2,992.20

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Solution

The fourth proportional to 9,231.64, 13,846.10 and 2,992.20 is: 4,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.64 : 13,846.10 = 2,992.20 : x
  2. Step 2: Convert to fraction form
    9,231.64/13,846.10 = 2,992.20/x
  3. Step 3: Cross multiply
    9,231.64x = 13,846.10 × 2,992.20
  4. Step 4: Simplify right side
    9,231.64x = 41,430,300.42
  5. Step 5: Solve for x
    x = 41,430,300.42/9,231.64
  6. Step 6: Final answer
    x = 4,487.86

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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.