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Finding the Fourth Proportional to 16,504.75, 22,771.09 and 9,792.48

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Solution

The fourth proportional to 16,504.75, 22,771.09 and 9,792.48 is: 13,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.75 : 22,771.09 = 9,792.48 : x
  2. Step 2: Convert to fraction form
    16,504.75/22,771.09 = 9,792.48/x
  3. Step 3: Cross multiply
    16,504.75x = 22,771.09 × 9,792.48
  4. Step 4: Simplify right side
    16,504.75x = 222,985,443.40
  5. Step 5: Solve for x
    x = 222,985,443.40/16,504.75
  6. Step 6: Final answer
    x = 13,510.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.