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Finding the Fourth Proportional to 7,171.41, 9,896.08 and 4,146.67

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Solution

The fourth proportional to 7,171.41, 9,896.08 and 4,146.67 is: 5,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.41 : 9,896.08 = 4,146.67 : x
  2. Step 2: Convert to fraction form
    7,171.41/9,896.08 = 4,146.67/x
  3. Step 3: Cross multiply
    7,171.41x = 9,896.08 × 4,146.67
  4. Step 4: Simplify right side
    7,171.41x = 41,035,778.05
  5. Step 5: Solve for x
    x = 41,035,778.05/7,171.41
  6. Step 6: Final answer
    x = 5,722.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.