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Finding the Fourth Proportional to 11,859.84, 17,777 and 6,016.92

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Solution

The fourth proportional to 11,859.84, 17,777 and 6,016.92 is: 9,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.84 : 17,777 = 6,016.92 : x
  2. Step 2: Convert to fraction form
    11,859.84/17,777 = 6,016.92/x
  3. Step 3: Cross multiply
    11,859.84x = 17,777 × 6,016.92
  4. Step 4: Simplify right side
    11,859.84x = 106,962,786.84
  5. Step 5: Solve for x
    x = 106,962,786.84/11,859.84
  6. Step 6: Final answer
    x = 9,018.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.