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Finding the Fourth Proportional to 6,109.44, 9,164.16 and 1,492.44

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Solution

The fourth proportional to 6,109.44, 9,164.16 and 1,492.44 is: 2,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.44 : 9,164.16 = 1,492.44 : x
  2. Step 2: Convert to fraction form
    6,109.44/9,164.16 = 1,492.44/x
  3. Step 3: Cross multiply
    6,109.44x = 9,164.16 × 1,492.44
  4. Step 4: Simplify right side
    6,109.44x = 13,676,958.95
  5. Step 5: Solve for x
    x = 13,676,958.95/6,109.44
  6. Step 6: Final answer
    x = 2,238.66

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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.