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Finding the Fourth Proportional to 11,704.65, 16,143.34 and 6,983.97

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Solution

The fourth proportional to 11,704.65, 16,143.34 and 6,983.97 is: 9,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.65 : 16,143.34 = 6,983.97 : x
  2. Step 2: Convert to fraction form
    11,704.65/16,143.34 = 6,983.97/x
  3. Step 3: Cross multiply
    11,704.65x = 16,143.34 × 6,983.97
  4. Step 4: Simplify right side
    11,704.65x = 112,744,602.26
  5. Step 5: Solve for x
    x = 112,744,602.26/11,704.65
  6. Step 6: Final answer
    x = 9,632.46

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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.