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Finding the Fourth Proportional to 12,133.77, 16,744.23 and 6,828.27

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Solution

The fourth proportional to 12,133.77, 16,744.23 and 6,828.27 is: 9,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.77 : 16,744.23 = 6,828.27 : x
  2. Step 2: Convert to fraction form
    12,133.77/16,744.23 = 6,828.27/x
  3. Step 3: Cross multiply
    12,133.77x = 16,744.23 × 6,828.27
  4. Step 4: Simplify right side
    12,133.77x = 114,334,123.38
  5. Step 5: Solve for x
    x = 114,334,123.38/12,133.77
  6. Step 6: Final answer
    x = 9,422.80

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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.