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Finding the Fourth Proportional to 16,583.14, 22,884.73 and 9,131.14

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Solution

The fourth proportional to 16,583.14, 22,884.73 and 9,131.14 is: 12,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.14 : 22,884.73 = 9,131.14 : x
  2. Step 2: Convert to fraction form
    16,583.14/22,884.73 = 9,131.14/x
  3. Step 3: Cross multiply
    16,583.14x = 22,884.73 × 9,131.14
  4. Step 4: Simplify right side
    16,583.14x = 208,963,673.49
  5. Step 5: Solve for x
    x = 208,963,673.49/16,583.14
  6. Step 6: Final answer
    x = 12,600.97

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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.