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Finding the Fourth Proportional to 12,006, 16,568.22 and 6,700.50

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Solution

The fourth proportional to 12,006, 16,568.22 and 6,700.50 is: 9,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006 : 16,568.22 = 6,700.50 : x
  2. Step 2: Convert to fraction form
    12,006/16,568.22 = 6,700.50/x
  3. Step 3: Cross multiply
    12,006x = 16,568.22 × 6,700.50
  4. Step 4: Simplify right side
    12,006x = 111,015,358.11
  5. Step 5: Solve for x
    x = 111,015,358.11/12,006
  6. Step 6: Final answer
    x = 9,246.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.