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Finding the Fourth Proportional to 17,761.40, 26,642.10 and 7,231.40

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Solution

The fourth proportional to 17,761.40, 26,642.10 and 7,231.40 is: 10,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.40 : 26,642.10 = 7,231.40 : x
  2. Step 2: Convert to fraction form
    17,761.40/26,642.10 = 7,231.40/x
  3. Step 3: Cross multiply
    17,761.40x = 26,642.10 × 7,231.40
  4. Step 4: Simplify right side
    17,761.40x = 192,659,681.94
  5. Step 5: Solve for x
    x = 192,659,681.94/17,761.40
  6. Step 6: Final answer
    x = 10,847.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.