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Finding the Fourth Proportional to 6,461.63, 9,696.23 and 3,692.24

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Solution

The fourth proportional to 6,461.63, 9,696.23 and 3,692.24 is: 5,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.63 : 9,696.23 = 3,692.24 : x
  2. Step 2: Convert to fraction form
    6,461.63/9,696.23 = 3,692.24/x
  3. Step 3: Cross multiply
    6,461.63x = 9,696.23 × 3,692.24
  4. Step 4: Simplify right side
    6,461.63x = 35,800,827.88
  5. Step 5: Solve for x
    x = 35,800,827.88/6,461.63
  6. Step 6: Final answer
    x = 5,540.52

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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.