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Finding the Fourth Proportional to 6,296.96, 9,444.48 and 2,192

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Solution

The fourth proportional to 6,296.96, 9,444.48 and 2,192 is: 3,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.96 : 9,444.48 = 2,192 : x
  2. Step 2: Convert to fraction form
    6,296.96/9,444.48 = 2,192/x
  3. Step 3: Cross multiply
    6,296.96x = 9,444.48 × 2,192
  4. Step 4: Simplify right side
    6,296.96x = 20,702,300.16
  5. Step 5: Solve for x
    x = 20,702,300.16/6,296.96
  6. Step 6: Final answer
    x = 3,287.67

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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.