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Finding the Fourth Proportional to 8,151.97, 12,227.99 and 3,471.10

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Solution

The fourth proportional to 8,151.97, 12,227.99 and 3,471.10 is: 5,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.97 : 12,227.99 = 3,471.10 : x
  2. Step 2: Convert to fraction form
    8,151.97/12,227.99 = 3,471.10/x
  3. Step 3: Cross multiply
    8,151.97x = 12,227.99 × 3,471.10
  4. Step 4: Simplify right side
    8,151.97x = 42,444,606.71
  5. Step 5: Solve for x
    x = 42,444,606.71/8,151.97
  6. Step 6: Final answer
    x = 5,206.67

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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.