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Finding the Fourth Proportional to 11,644.08, 16,091.64 and 10,348.08

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Solution

The fourth proportional to 11,644.08, 16,091.64 and 10,348.08 is: 14,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.08 : 16,091.64 = 10,348.08 : x
  2. Step 2: Convert to fraction form
    11,644.08/16,091.64 = 10,348.08/x
  3. Step 3: Cross multiply
    11,644.08x = 16,091.64 × 10,348.08
  4. Step 4: Simplify right side
    11,644.08x = 166,517,578.05
  5. Step 5: Solve for x
    x = 166,517,578.05/11,644.08
  6. Step 6: Final answer
    x = 14,300.62

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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.