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Finding the Fourth Proportional to 12,497.14, 18,745.70 and 3,263.14

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Solution

The fourth proportional to 12,497.14, 18,745.70 and 3,263.14 is: 4,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.14 : 18,745.70 = 3,263.14 : x
  2. Step 2: Convert to fraction form
    12,497.14/18,745.70 = 3,263.14/x
  3. Step 3: Cross multiply
    12,497.14x = 18,745.70 × 3,263.14
  4. Step 4: Simplify right side
    12,497.14x = 61,169,843.50
  5. Step 5: Solve for x
    x = 61,169,843.50/12,497.14
  6. Step 6: Final answer
    x = 4,894.71

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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.