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Finding the Fourth Proportional to 18,400.16, 27,608.80 and 7,873.40

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Solution

The fourth proportional to 18,400.16, 27,608.80 and 7,873.40 is: 11,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.16 : 27,608.80 = 7,873.40 : x
  2. Step 2: Convert to fraction form
    18,400.16/27,608.80 = 7,873.40/x
  3. Step 3: Cross multiply
    18,400.16x = 27,608.80 × 7,873.40
  4. Step 4: Simplify right side
    18,400.16x = 217,375,125.92
  5. Step 5: Solve for x
    x = 217,375,125.92/18,400.16
  6. Step 6: Final answer
    x = 11,813.76

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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.