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Finding the Fourth Proportional to 11,882.69, 16,396.59 and 6,847.12

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Solution

The fourth proportional to 11,882.69, 16,396.59 and 6,847.12 is: 9,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.69 : 16,396.59 = 6,847.12 : x
  2. Step 2: Convert to fraction form
    11,882.69/16,396.59 = 6,847.12/x
  3. Step 3: Cross multiply
    11,882.69x = 16,396.59 × 6,847.12
  4. Step 4: Simplify right side
    11,882.69x = 112,269,419.32
  5. Step 5: Solve for x
    x = 112,269,419.32/11,882.69
  6. Step 6: Final answer
    x = 9,448.15

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1.5x scale

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.