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Finding the Fourth Proportional to 12,133.96, 16,743.49 and 6,828.64

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Solution

The fourth proportional to 12,133.96, 16,743.49 and 6,828.64 is: 9,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.96 : 16,743.49 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    12,133.96/16,743.49 = 6,828.64/x
  3. Step 3: Cross multiply
    12,133.96x = 16,743.49 × 6,828.64
  4. Step 4: Simplify right side
    12,133.96x = 114,335,265.55
  5. Step 5: Solve for x
    x = 114,335,265.55/12,133.96
  6. Step 6: Final answer
    x = 9,422.75

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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.