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Finding the Fourth Proportional to 3,692.04, 5,538.06 and 1,383

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Solution

The fourth proportional to 3,692.04, 5,538.06 and 1,383 is: 2,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.04 : 5,538.06 = 1,383 : x
  2. Step 2: Convert to fraction form
    3,692.04/5,538.06 = 1,383/x
  3. Step 3: Cross multiply
    3,692.04x = 5,538.06 × 1,383
  4. Step 4: Simplify right side
    3,692.04x = 7,659,136.98
  5. Step 5: Solve for x
    x = 7,659,136.98/3,692.04
  6. Step 6: Final answer
    x = 2,074.50

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Half scale
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Double scale
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Similar ratio
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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.