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Finding the Fourth Proportional to 6,334.86, 9,503.73 and 2,174.70

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Solution

The fourth proportional to 6,334.86, 9,503.73 and 2,174.70 is: 3,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.86 : 9,503.73 = 2,174.70 : x
  2. Step 2: Convert to fraction form
    6,334.86/9,503.73 = 2,174.70/x
  3. Step 3: Cross multiply
    6,334.86x = 9,503.73 × 2,174.70
  4. Step 4: Simplify right side
    6,334.86x = 20,667,761.63
  5. Step 5: Solve for x
    x = 20,667,761.63/6,334.86
  6. Step 6: Final answer
    x = 3,262.54

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1.5x scale

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.