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Finding the Fourth Proportional to 11,860.84, 16,367.50 and 6,826.67

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Solution

The fourth proportional to 11,860.84, 16,367.50 and 6,826.67 is: 9,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.84 : 16,367.50 = 6,826.67 : x
  2. Step 2: Convert to fraction form
    11,860.84/16,367.50 = 6,826.67/x
  3. Step 3: Cross multiply
    11,860.84x = 16,367.50 × 6,826.67
  4. Step 4: Simplify right side
    11,860.84x = 111,735,562.97
  5. Step 5: Solve for x
    x = 111,735,562.97/11,860.84
  6. Step 6: Final answer
    x = 9,420.55

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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.