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Finding the Fourth Proportional to 24,791.63, 37,187.64 and 9,209.25

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Solution

The fourth proportional to 24,791.63, 37,187.64 and 9,209.25 is: 13,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.63 : 37,187.64 = 9,209.25 : x
  2. Step 2: Convert to fraction form
    24,791.63/37,187.64 = 9,209.25/x
  3. Step 3: Cross multiply
    24,791.63x = 37,187.64 × 9,209.25
  4. Step 4: Simplify right side
    24,791.63x = 342,470,273.67
  5. Step 5: Solve for x
    x = 342,470,273.67/24,791.63
  6. Step 6: Final answer
    x = 13,813.95

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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.