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Finding the Fourth Proportional to 6,162.03, 9,242.01 and 1,778.54

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Solution

The fourth proportional to 6,162.03, 9,242.01 and 1,778.54 is: 2,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.03 : 9,242.01 = 1,778.54 : x
  2. Step 2: Convert to fraction form
    6,162.03/9,242.01 = 1,778.54/x
  3. Step 3: Cross multiply
    6,162.03x = 9,242.01 × 1,778.54
  4. Step 4: Simplify right side
    6,162.03x = 16,437,238.26
  5. Step 5: Solve for x
    x = 16,437,238.26/6,162.03
  6. Step 6: Final answer
    x = 2,667.50

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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.