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Finding the Fourth Proportional to 11,199, 16,757.49 and 10,598.19

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Solution

The fourth proportional to 11,199, 16,757.49 and 10,598.19 is: 15,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199 : 16,757.49 = 10,598.19 : x
  2. Step 2: Convert to fraction form
    11,199/16,757.49 = 10,598.19/x
  3. Step 3: Cross multiply
    11,199x = 16,757.49 × 10,598.19
  4. Step 4: Simplify right side
    11,199x = 177,599,062.94
  5. Step 5: Solve for x
    x = 177,599,062.94/11,199
  6. Step 6: Final answer
    x = 15,858.48

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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.