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Finding the Fourth Proportional to 11,954.67, 16,497.54 and 6,503.79

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Solution

The fourth proportional to 11,954.67, 16,497.54 and 6,503.79 is: 8,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.67 : 16,497.54 = 6,503.79 : x
  2. Step 2: Convert to fraction form
    11,954.67/16,497.54 = 6,503.79/x
  3. Step 3: Cross multiply
    11,954.67x = 16,497.54 × 6,503.79
  4. Step 4: Simplify right side
    11,954.67x = 107,296,535.68
  5. Step 5: Solve for x
    x = 107,296,535.68/11,954.67
  6. Step 6: Final answer
    x = 8,975.28

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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.