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Finding the Fourth Proportional to 12,123.16, 16,729.78 and 6,817.98

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Solution

The fourth proportional to 12,123.16, 16,729.78 and 6,817.98 is: 9,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.16 : 16,729.78 = 6,817.98 : x
  2. Step 2: Convert to fraction form
    12,123.16/16,729.78 = 6,817.98/x
  3. Step 3: Cross multiply
    12,123.16x = 16,729.78 × 6,817.98
  4. Step 4: Simplify right side
    12,123.16x = 114,063,305.44
  5. Step 5: Solve for x
    x = 114,063,305.44/12,123.16
  6. Step 6: Final answer
    x = 9,408.71

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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.