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Finding the Fourth Proportional to 6,461.61, 9,692.19 and 1,844.61

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Solution

The fourth proportional to 6,461.61, 9,692.19 and 1,844.61 is: 2,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.61 : 9,692.19 = 1,844.61 : x
  2. Step 2: Convert to fraction form
    6,461.61/9,692.19 = 1,844.61/x
  3. Step 3: Cross multiply
    6,461.61x = 9,692.19 × 1,844.61
  4. Step 4: Simplify right side
    6,461.61x = 17,878,310.60
  5. Step 5: Solve for x
    x = 17,878,310.60/6,461.61
  6. Step 6: Final answer
    x = 2,766.85

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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.