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Finding the Fourth Proportional to 11,164.76, 16,750 and 7,884.26

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Solution

The fourth proportional to 11,164.76, 16,750 and 7,884.26 is: 11,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.76 : 16,750 = 7,884.26 : x
  2. Step 2: Convert to fraction form
    11,164.76/16,750 = 7,884.26/x
  3. Step 3: Cross multiply
    11,164.76x = 16,750 × 7,884.26
  4. Step 4: Simplify right side
    11,164.76x = 132,061,355
  5. Step 5: Solve for x
    x = 132,061,355/11,164.76
  6. Step 6: Final answer
    x = 11,828.41

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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.