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Finding the Fourth Proportional to 15,477.88, 23,194.94 and 7,692.16

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Solution

The fourth proportional to 15,477.88, 23,194.94 and 7,692.16 is: 11,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.88 : 23,194.94 = 7,692.16 : x
  2. Step 2: Convert to fraction form
    15,477.88/23,194.94 = 7,692.16/x
  3. Step 3: Cross multiply
    15,477.88x = 23,194.94 × 7,692.16
  4. Step 4: Simplify right side
    15,477.88x = 178,419,189.67
  5. Step 5: Solve for x
    x = 178,419,189.67/15,477.88
  6. Step 6: Final answer
    x = 11,527.37

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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.