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Finding the Fourth Proportional to 11,200, 16,758.99 and 10,599.19

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Solution

The fourth proportional to 11,200, 16,758.99 and 10,599.19 is: 15,859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200 : 16,758.99 = 10,599.19 : x
  2. Step 2: Convert to fraction form
    11,200/16,758.99 = 10,599.19/x
  3. Step 3: Cross multiply
    11,200x = 16,758.99 × 10,599.19
  4. Step 4: Simplify right side
    11,200x = 177,631,719.22
  5. Step 5: Solve for x
    x = 177,631,719.22/11,200
  6. Step 6: Final answer
    x = 15,859.97

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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.