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Finding the Fourth Proportional to 11,692.89, 17,544.80 and 6,766.67

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Solution

The fourth proportional to 11,692.89, 17,544.80 and 6,766.67 is: 10,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.89 : 17,544.80 = 6,766.67 : x
  2. Step 2: Convert to fraction form
    11,692.89/17,544.80 = 6,766.67/x
  3. Step 3: Cross multiply
    11,692.89x = 17,544.80 × 6,766.67
  4. Step 4: Simplify right side
    11,692.89x = 118,719,871.82
  5. Step 5: Solve for x
    x = 118,719,871.82/11,692.89
  6. Step 6: Final answer
    x = 10,153.17

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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.