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Finding the Fourth Proportional to 11,462.16, 17,193.24 and 3,142.24

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Solution

The fourth proportional to 11,462.16, 17,193.24 and 3,142.24 is: 4,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.16 : 17,193.24 = 3,142.24 : x
  2. Step 2: Convert to fraction form
    11,462.16/17,193.24 = 3,142.24/x
  3. Step 3: Cross multiply
    11,462.16x = 17,193.24 × 3,142.24
  4. Step 4: Simplify right side
    11,462.16x = 54,025,286.46
  5. Step 5: Solve for x
    x = 54,025,286.46/11,462.16
  6. Step 6: Final answer
    x = 4,713.36

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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.