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Finding the Fourth Proportional to 8,246.49, 12,369.65 and 2,006.60

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Solution

The fourth proportional to 8,246.49, 12,369.65 and 2,006.60 is: 3,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.49 : 12,369.65 = 2,006.60 : x
  2. Step 2: Convert to fraction form
    8,246.49/12,369.65 = 2,006.60/x
  3. Step 3: Cross multiply
    8,246.49x = 12,369.65 × 2,006.60
  4. Step 4: Simplify right side
    8,246.49x = 24,820,867.81
  5. Step 5: Solve for x
    x = 24,820,867.81/8,246.49
  6. Step 6: Final answer
    x = 3,009.87

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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.