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Finding the Fourth Proportional to 12,133.82, 16,744.64 and 6,828.64

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Solution

The fourth proportional to 12,133.82, 16,744.64 and 6,828.64 is: 9,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.82 : 16,744.64 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    12,133.82/16,744.64 = 6,828.64/x
  3. Step 3: Cross multiply
    12,133.82x = 16,744.64 × 6,828.64
  4. Step 4: Simplify right side
    12,133.82x = 114,343,118.49
  5. Step 5: Solve for x
    x = 114,343,118.49/12,133.82
  6. Step 6: Final answer
    x = 9,423.51

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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.