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Finding the Fourth Proportional to 12,463.14, 17,198.86 and 6,874.14

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Solution

The fourth proportional to 12,463.14, 17,198.86 and 6,874.14 is: 9,486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.14 : 17,198.86 = 6,874.14 : x
  2. Step 2: Convert to fraction form
    12,463.14/17,198.86 = 6,874.14/x
  3. Step 3: Cross multiply
    12,463.14x = 17,198.86 × 6,874.14
  4. Step 4: Simplify right side
    12,463.14x = 118,227,371.48
  5. Step 5: Solve for x
    x = 118,227,371.48/12,463.14
  6. Step 6: Final answer
    x = 9,486.16

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.