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Finding the Fourth Proportional to 12,264.82, 16,923.16 and 7,230.60

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Solution

The fourth proportional to 12,264.82, 16,923.16 and 7,230.60 is: 9,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.82 : 16,923.16 = 7,230.60 : x
  2. Step 2: Convert to fraction form
    12,264.82/16,923.16 = 7,230.60/x
  3. Step 3: Cross multiply
    12,264.82x = 16,923.16 × 7,230.60
  4. Step 4: Simplify right side
    12,264.82x = 122,364,609.73
  5. Step 5: Solve for x
    x = 122,364,609.73/12,264.82
  6. Step 6: Final answer
    x = 9,976.88

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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.