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Finding the Fourth Proportional to 11,761.54, 16,230.45 and 7,048.42

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Solution

The fourth proportional to 11,761.54, 16,230.45 and 7,048.42 is: 9,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.54 : 16,230.45 = 7,048.42 : x
  2. Step 2: Convert to fraction form
    11,761.54/16,230.45 = 7,048.42/x
  3. Step 3: Cross multiply
    11,761.54x = 16,230.45 × 7,048.42
  4. Step 4: Simplify right side
    11,761.54x = 114,399,028.39
  5. Step 5: Solve for x
    x = 114,399,028.39/11,761.54
  6. Step 6: Final answer
    x = 9,726.53

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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.