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Finding the Fourth Proportional to 18,151.67, 27,230.70 and 6,464.90

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Solution

The fourth proportional to 18,151.67, 27,230.70 and 6,464.90 is: 9,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,151.67 : 27,230.70 = 6,464.90 : x
  2. Step 2: Convert to fraction form
    18,151.67/27,230.70 = 6,464.90/x
  3. Step 3: Cross multiply
    18,151.67x = 27,230.70 × 6,464.90
  4. Step 4: Simplify right side
    18,151.67x = 176,043,752.43
  5. Step 5: Solve for x
    x = 176,043,752.43/18,151.67
  6. Step 6: Final answer
    x = 9,698.49

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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.