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Finding the Fourth Proportional to 11,882.75, 16,398.99 and 6,846.84

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Solution

The fourth proportional to 11,882.75, 16,398.99 and 6,846.84 is: 9,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.75 : 16,398.99 = 6,846.84 : x
  2. Step 2: Convert to fraction form
    11,882.75/16,398.99 = 6,846.84/x
  3. Step 3: Cross multiply
    11,882.75x = 16,398.99 × 6,846.84
  4. Step 4: Simplify right side
    11,882.75x = 112,281,260.69
  5. Step 5: Solve for x
    x = 112,281,260.69/11,882.75
  6. Step 6: Final answer
    x = 9,449.10

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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.