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Finding the Fourth Proportional to 10,171, 14,035.21 and 6,191.67

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Solution

The fourth proportional to 10,171, 14,035.21 and 6,191.67 is: 8,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171 : 14,035.21 = 6,191.67 : x
  2. Step 2: Convert to fraction form
    10,171/14,035.21 = 6,191.67/x
  3. Step 3: Cross multiply
    10,171x = 14,035.21 × 6,191.67
  4. Step 4: Simplify right side
    10,171x = 86,901,388.70
  5. Step 5: Solve for x
    x = 86,901,388.70/10,171
  6. Step 6: Final answer
    x = 8,544.04

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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.