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Finding the Fourth Proportional to 12,133.28, 16,743.54 and 6,828.38

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Solution

The fourth proportional to 12,133.28, 16,743.54 and 6,828.38 is: 9,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.28 : 16,743.54 = 6,828.38 : x
  2. Step 2: Convert to fraction form
    12,133.28/16,743.54 = 6,828.38/x
  3. Step 3: Cross multiply
    12,133.28x = 16,743.54 × 6,828.38
  4. Step 4: Simplify right side
    12,133.28x = 114,331,253.67
  5. Step 5: Solve for x
    x = 114,331,253.67/12,133.28
  6. Step 6: Final answer
    x = 9,422.95

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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.