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Finding the Fourth Proportional to 18,207.44, 27,315.32 and 7,822.16

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Solution

The fourth proportional to 18,207.44, 27,315.32 and 7,822.16 is: 11,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207.44 : 27,315.32 = 7,822.16 : x
  2. Step 2: Convert to fraction form
    18,207.44/27,315.32 = 7,822.16/x
  3. Step 3: Cross multiply
    18,207.44x = 27,315.32 × 7,822.16
  4. Step 4: Simplify right side
    18,207.44x = 213,664,803.49
  5. Step 5: Solve for x
    x = 213,664,803.49/18,207.44
  6. Step 6: Final answer
    x = 11,735.03

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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.