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Finding the Fourth Proportional to 6,461.49, 9,692.24 and 1,781.54

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Solution

The fourth proportional to 6,461.49, 9,692.24 and 1,781.54 is: 2,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.49 : 9,692.24 = 1,781.54 : x
  2. Step 2: Convert to fraction form
    6,461.49/9,692.24 = 1,781.54/x
  3. Step 3: Cross multiply
    6,461.49x = 9,692.24 × 1,781.54
  4. Step 4: Simplify right side
    6,461.49x = 17,267,055.88
  5. Step 5: Solve for x
    x = 17,267,055.88/6,461.49
  6. Step 6: Final answer
    x = 2,672.30

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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.