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Finding the Fourth Proportional to 8,006.99, 12,006.99 and 2,457.27

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Solution

The fourth proportional to 8,006.99, 12,006.99 and 2,457.27 is: 3,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.99 : 12,006.99 = 2,457.27 : x
  2. Step 2: Convert to fraction form
    8,006.99/12,006.99 = 2,457.27/x
  3. Step 3: Cross multiply
    8,006.99x = 12,006.99 × 2,457.27
  4. Step 4: Simplify right side
    8,006.99x = 29,504,416.32
  5. Step 5: Solve for x
    x = 29,504,416.32/8,006.99
  6. Step 6: Final answer
    x = 3,684.83

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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.