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Finding the Fourth Proportional to 12,170.67, 16,795.44 and 6,581.67

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Solution

The fourth proportional to 12,170.67, 16,795.44 and 6,581.67 is: 9,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.67 : 16,795.44 = 6,581.67 : x
  2. Step 2: Convert to fraction form
    12,170.67/16,795.44 = 6,581.67/x
  3. Step 3: Cross multiply
    12,170.67x = 16,795.44 × 6,581.67
  4. Step 4: Simplify right side
    12,170.67x = 110,542,043.58
  5. Step 5: Solve for x
    x = 110,542,043.58/12,170.67
  6. Step 6: Final answer
    x = 9,082.66

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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.