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Finding the Fourth Proportional to 15,921.97, 23,846.54 and 7,607.82

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Solution

The fourth proportional to 15,921.97, 23,846.54 and 7,607.82 is: 11,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.97 : 23,846.54 = 7,607.82 : x
  2. Step 2: Convert to fraction form
    15,921.97/23,846.54 = 7,607.82/x
  3. Step 3: Cross multiply
    15,921.97x = 23,846.54 × 7,607.82
  4. Step 4: Simplify right side
    15,921.97x = 181,420,235.33
  5. Step 5: Solve for x
    x = 181,420,235.33/15,921.97
  6. Step 6: Final answer
    x = 11,394.34

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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.