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Finding the Fourth Proportional to 12,234.56, 16,883.34 and 6,929.84

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Solution

The fourth proportional to 12,234.56, 16,883.34 and 6,929.84 is: 9,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.56 : 16,883.34 = 6,929.84 : x
  2. Step 2: Convert to fraction form
    12,234.56/16,883.34 = 6,929.84/x
  3. Step 3: Cross multiply
    12,234.56x = 16,883.34 × 6,929.84
  4. Step 4: Simplify right side
    12,234.56x = 116,998,844.87
  5. Step 5: Solve for x
    x = 116,998,844.87/12,234.56
  6. Step 6: Final answer
    x = 9,562.98

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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.