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Finding the Fourth Proportional to 8,141.99, 12,214.80 and 3,462.21

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Solution

The fourth proportional to 8,141.99, 12,214.80 and 3,462.21 is: 5,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.99 : 12,214.80 = 3,462.21 : x
  2. Step 2: Convert to fraction form
    8,141.99/12,214.80 = 3,462.21/x
  3. Step 3: Cross multiply
    8,141.99x = 12,214.80 × 3,462.21
  4. Step 4: Simplify right side
    8,141.99x = 42,290,202.71
  5. Step 5: Solve for x
    x = 42,290,202.71/8,141.99
  6. Step 6: Final answer
    x = 5,194.09

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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.