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Finding the Fourth Proportional to 11,037, 16,562.79 and 5,194.06

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Solution

The fourth proportional to 11,037, 16,562.79 and 5,194.06 is: 7,794.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,037 : 16,562.79 = 5,194.06 : x
  2. Step 2: Convert to fraction form
    11,037/16,562.79 = 5,194.06/x
  3. Step 3: Cross multiply
    11,037x = 16,562.79 × 5,194.06
  4. Step 4: Simplify right side
    11,037x = 86,028,125.03
  5. Step 5: Solve for x
    x = 86,028,125.03/11,037
  6. Step 6: Final answer
    x = 7,794.52

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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.