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Finding the Fourth Proportional to 11,515.58, 17,251.10 and 9,644.48

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Solution

The fourth proportional to 11,515.58, 17,251.10 and 9,644.48 is: 14,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.58 : 17,251.10 = 9,644.48 : x
  2. Step 2: Convert to fraction form
    11,515.58/17,251.10 = 9,644.48/x
  3. Step 3: Cross multiply
    11,515.58x = 17,251.10 × 9,644.48
  4. Step 4: Simplify right side
    11,515.58x = 166,377,888.93
  5. Step 5: Solve for x
    x = 166,377,888.93/11,515.58
  6. Step 6: Final answer
    x = 14,448.07

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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.