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Finding the Fourth Proportional to 6,636.24, 9,956.04 and 2,253

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Solution

The fourth proportional to 6,636.24, 9,956.04 and 2,253 is: 3,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,636.24 : 9,956.04 = 2,253 : x
  2. Step 2: Convert to fraction form
    6,636.24/9,956.04 = 2,253/x
  3. Step 3: Cross multiply
    6,636.24x = 9,956.04 × 2,253
  4. Step 4: Simplify right side
    6,636.24x = 22,430,958.12
  5. Step 5: Solve for x
    x = 22,430,958.12/6,636.24
  6. Step 6: Final answer
    x = 3,380.07

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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.