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Finding the Fourth Proportional to 11,864.44, 16,374.12 and 6,828.88

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Solution

The fourth proportional to 11,864.44, 16,374.12 and 6,828.88 is: 9,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.44 : 16,374.12 = 6,828.88 : x
  2. Step 2: Convert to fraction form
    11,864.44/16,374.12 = 6,828.88/x
  3. Step 3: Cross multiply
    11,864.44x = 16,374.12 × 6,828.88
  4. Step 4: Simplify right side
    11,864.44x = 111,816,900.59
  5. Step 5: Solve for x
    x = 111,816,900.59/11,864.44
  6. Step 6: Final answer
    x = 9,424.54

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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.