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Finding the Fourth Proportional to 12,170.76, 16,795.66 and 6,581.76

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Solution

The fourth proportional to 12,170.76, 16,795.66 and 6,581.76 is: 9,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.76 : 16,795.66 = 6,581.76 : x
  2. Step 2: Convert to fraction form
    12,170.76/16,795.66 = 6,581.76/x
  3. Step 3: Cross multiply
    12,170.76x = 16,795.66 × 6,581.76
  4. Step 4: Simplify right side
    12,170.76x = 110,545,003.16
  5. Step 5: Solve for x
    x = 110,545,003.16/12,170.76
  6. Step 6: Final answer
    x = 9,082.83

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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.