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Finding the Fourth Proportional to 9,192.94, 13,797.42 and 4,813.48

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Solution

The fourth proportional to 9,192.94, 13,797.42 and 4,813.48 is: 7,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.94 : 13,797.42 = 4,813.48 : x
  2. Step 2: Convert to fraction form
    9,192.94/13,797.42 = 4,813.48/x
  3. Step 3: Cross multiply
    9,192.94x = 13,797.42 × 4,813.48
  4. Step 4: Simplify right side
    9,192.94x = 66,413,605.22
  5. Step 5: Solve for x
    x = 66,413,605.22/9,192.94
  6. Step 6: Final answer
    x = 7,224.41

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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.