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Finding the Fourth Proportional to 7,645.50, 11,466.63 and 6,192.90

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Solution

The fourth proportional to 7,645.50, 11,466.63 and 6,192.90 is: 9,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.50 : 11,466.63 = 6,192.90 : x
  2. Step 2: Convert to fraction form
    7,645.50/11,466.63 = 6,192.90/x
  3. Step 3: Cross multiply
    7,645.50x = 11,466.63 × 6,192.90
  4. Step 4: Simplify right side
    7,645.50x = 71,011,692.93
  5. Step 5: Solve for x
    x = 71,011,692.93/7,645.50
  6. Step 6: Final answer
    x = 9,288.04

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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.