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Finding the Fourth Proportional to 11,846.53, 17,761.04 and 7,165.41

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Solution

The fourth proportional to 11,846.53, 17,761.04 and 7,165.41 is: 10,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.53 : 17,761.04 = 7,165.41 : x
  2. Step 2: Convert to fraction form
    11,846.53/17,761.04 = 7,165.41/x
  3. Step 3: Cross multiply
    11,846.53x = 17,761.04 × 7,165.41
  4. Step 4: Simplify right side
    11,846.53x = 127,265,097.80
  5. Step 5: Solve for x
    x = 127,265,097.80/11,846.53
  6. Step 6: Final answer
    x = 10,742.82

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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.