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Finding the Fourth Proportional to 9,692.82, 14,537.88 and 3,118.23

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Solution

The fourth proportional to 9,692.82, 14,537.88 and 3,118.23 is: 4,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.82 : 14,537.88 = 3,118.23 : x
  2. Step 2: Convert to fraction form
    9,692.82/14,537.88 = 3,118.23/x
  3. Step 3: Cross multiply
    9,692.82x = 14,537.88 × 3,118.23
  4. Step 4: Simplify right side
    9,692.82x = 45,332,453.55
  5. Step 5: Solve for x
    x = 45,332,453.55/9,692.82
  6. Step 6: Final answer
    x = 4,676.91

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Double scale
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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.