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Finding the Fourth Proportional to 12,002.66, 16,563.26 and 6,698.38

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Solution

The fourth proportional to 12,002.66, 16,563.26 and 6,698.38 is: 9,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.66 : 16,563.26 = 6,698.38 : x
  2. Step 2: Convert to fraction form
    12,002.66/16,563.26 = 6,698.38/x
  3. Step 3: Cross multiply
    12,002.66x = 16,563.26 × 6,698.38
  4. Step 4: Simplify right side
    12,002.66x = 110,947,009.52
  5. Step 5: Solve for x
    x = 110,947,009.52/12,002.66
  6. Step 6: Final answer
    x = 9,243.54

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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.