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Finding the Fourth Proportional to 6,334.81, 9,503.61 and 2,174.72

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Solution

The fourth proportional to 6,334.81, 9,503.61 and 2,174.72 is: 3,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.81 : 9,503.61 = 2,174.72 : x
  2. Step 2: Convert to fraction form
    6,334.81/9,503.61 = 2,174.72/x
  3. Step 3: Cross multiply
    6,334.81x = 9,503.61 × 2,174.72
  4. Step 4: Simplify right side
    6,334.81x = 20,667,690.74
  5. Step 5: Solve for x
    x = 20,667,690.74/6,334.81
  6. Step 6: Final answer
    x = 3,262.56

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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.