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Finding the Fourth Proportional to 15,993.73, 23,978.74 and 7,665.82

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Solution

The fourth proportional to 15,993.73, 23,978.74 and 7,665.82 is: 11,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.73 : 23,978.74 = 7,665.82 : x
  2. Step 2: Convert to fraction form
    15,993.73/23,978.74 = 7,665.82/x
  3. Step 3: Cross multiply
    15,993.73x = 23,978.74 × 7,665.82
  4. Step 4: Simplify right side
    15,993.73x = 183,816,704.67
  5. Step 5: Solve for x
    x = 183,816,704.67/15,993.73
  6. Step 6: Final answer
    x = 11,493.05

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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.