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Finding the Fourth Proportional to 11,717.70, 16,176 and 7,244.06

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Solution

The fourth proportional to 11,717.70, 16,176 and 7,244.06 is: 10,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.70 : 16,176 = 7,244.06 : x
  2. Step 2: Convert to fraction form
    11,717.70/16,176 = 7,244.06/x
  3. Step 3: Cross multiply
    11,717.70x = 16,176 × 7,244.06
  4. Step 4: Simplify right side
    11,717.70x = 117,179,914.56
  5. Step 5: Solve for x
    x = 117,179,914.56/11,717.70
  6. Step 6: Final answer
    x = 10,000.25

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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.