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Finding the Fourth Proportional to 8,006.34, 12,009.25 and 3,623.80

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Solution

The fourth proportional to 8,006.34, 12,009.25 and 3,623.80 is: 5,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.34 : 12,009.25 = 3,623.80 : x
  2. Step 2: Convert to fraction form
    8,006.34/12,009.25 = 3,623.80/x
  3. Step 3: Cross multiply
    8,006.34x = 12,009.25 × 3,623.80
  4. Step 4: Simplify right side
    8,006.34x = 43,519,139.69
  5. Step 5: Solve for x
    x = 43,519,139.69/8,006.34
  6. Step 6: Final answer
    x = 5,435.58

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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.