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Finding the Fourth Proportional to 11,984.69, 16,538.65 and 6,949.38

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Solution

The fourth proportional to 11,984.69, 16,538.65 and 6,949.38 is: 9,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.69 : 16,538.65 = 6,949.38 : x
  2. Step 2: Convert to fraction form
    11,984.69/16,538.65 = 6,949.38/x
  3. Step 3: Cross multiply
    11,984.69x = 16,538.65 × 6,949.38
  4. Step 4: Simplify right side
    11,984.69x = 114,933,315.15
  5. Step 5: Solve for x
    x = 114,933,315.15/11,984.69
  6. Step 6: Final answer
    x = 9,590.01

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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.