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Finding the Fourth Proportional to 18,324.68, 27,477 and 7,225.64

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Solution

The fourth proportional to 18,324.68, 27,477 and 7,225.64 is: 10,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324.68 : 27,477 = 7,225.64 : x
  2. Step 2: Convert to fraction form
    18,324.68/27,477 = 7,225.64/x
  3. Step 3: Cross multiply
    18,324.68x = 27,477 × 7,225.64
  4. Step 4: Simplify right side
    18,324.68x = 198,538,910.28
  5. Step 5: Solve for x
    x = 198,538,910.28/18,324.68
  6. Step 6: Final answer
    x = 10,834.51

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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.