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Finding the Fourth Proportional to 6,082.50, 9,124.34 and 2,796.51

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Solution

The fourth proportional to 6,082.50, 9,124.34 and 2,796.51 is: 4,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.50 : 9,124.34 = 2,796.51 : x
  2. Step 2: Convert to fraction form
    6,082.50/9,124.34 = 2,796.51/x
  3. Step 3: Cross multiply
    6,082.50x = 9,124.34 × 2,796.51
  4. Step 4: Simplify right side
    6,082.50x = 25,516,294.07
  5. Step 5: Solve for x
    x = 25,516,294.07/6,082.50
  6. Step 6: Final answer
    x = 4,195.03

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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.