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Finding the Fourth Proportional to 11,449.54, 15,794.79 and 7,205.86

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Solution

The fourth proportional to 11,449.54, 15,794.79 and 7,205.86 is: 9,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.54 : 15,794.79 = 7,205.86 : x
  2. Step 2: Convert to fraction form
    11,449.54/15,794.79 = 7,205.86/x
  3. Step 3: Cross multiply
    11,449.54x = 15,794.79 × 7,205.86
  4. Step 4: Simplify right side
    11,449.54x = 113,815,045.47
  5. Step 5: Solve for x
    x = 113,815,045.47/11,449.54
  6. Step 6: Final answer
    x = 9,940.58

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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.