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Finding the Fourth Proportional to 4,112.99, 6,169.49 and 1,191.30

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Solution

The fourth proportional to 4,112.99, 6,169.49 and 1,191.30 is: 1,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.99 : 6,169.49 = 1,191.30 : x
  2. Step 2: Convert to fraction form
    4,112.99/6,169.49 = 1,191.30/x
  3. Step 3: Cross multiply
    4,112.99x = 6,169.49 × 1,191.30
  4. Step 4: Simplify right side
    4,112.99x = 7,349,709.51
  5. Step 5: Solve for x
    x = 7,349,709.51/4,112.99
  6. Step 6: Final answer
    x = 1,786.95

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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.