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Finding the Fourth Proportional to 12,133.57, 16,744.32 and 6,828.39

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Solution

The fourth proportional to 12,133.57, 16,744.32 and 6,828.39 is: 9,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.57 : 16,744.32 = 6,828.39 : x
  2. Step 2: Convert to fraction form
    12,133.57/16,744.32 = 6,828.39/x
  3. Step 3: Cross multiply
    12,133.57x = 16,744.32 × 6,828.39
  4. Step 4: Simplify right side
    12,133.57x = 114,336,747.24
  5. Step 5: Solve for x
    x = 114,336,747.24/12,133.57
  6. Step 6: Final answer
    x = 9,423.17

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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.