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Finding the Fourth Proportional to 6,082.96, 9,126.60 and 2,188.48

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Solution

The fourth proportional to 6,082.96, 9,126.60 and 2,188.48 is: 3,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.96 : 9,126.60 = 2,188.48 : x
  2. Step 2: Convert to fraction form
    6,082.96/9,126.60 = 2,188.48/x
  3. Step 3: Cross multiply
    6,082.96x = 9,126.60 × 2,188.48
  4. Step 4: Simplify right side
    6,082.96x = 19,973,381.57
  5. Step 5: Solve for x
    x = 19,973,381.57/6,082.96
  6. Step 6: Final answer
    x = 3,283.50

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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.