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Finding the Fourth Proportional to 8,462.37, 12,716.09 and 7,930.34

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Solution

The fourth proportional to 8,462.37, 12,716.09 and 7,930.34 is: 11,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.37 : 12,716.09 = 7,930.34 : x
  2. Step 2: Convert to fraction form
    8,462.37/12,716.09 = 7,930.34/x
  3. Step 3: Cross multiply
    8,462.37x = 12,716.09 × 7,930.34
  4. Step 4: Simplify right side
    8,462.37x = 100,842,891.36
  5. Step 5: Solve for x
    x = 100,842,891.36/8,462.37
  6. Step 6: Final answer
    x = 11,916.62

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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.