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Finding the Fourth Proportional to 12,133.26, 16,744.05 and 6,828.03

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Solution

The fourth proportional to 12,133.26, 16,744.05 and 6,828.03 is: 9,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.26 : 16,744.05 = 6,828.03 : x
  2. Step 2: Convert to fraction form
    12,133.26/16,744.05 = 6,828.03/x
  3. Step 3: Cross multiply
    12,133.26x = 16,744.05 × 6,828.03
  4. Step 4: Simplify right side
    12,133.26x = 114,328,875.72
  5. Step 5: Solve for x
    x = 114,328,875.72/12,133.26
  6. Step 6: Final answer
    x = 9,422.77

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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.