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Finding the Fourth Proportional to 7,761.41, 11,623.58 and 4,467.58

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Solution

The fourth proportional to 7,761.41, 11,623.58 and 4,467.58 is: 6,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.41 : 11,623.58 = 4,467.58 : x
  2. Step 2: Convert to fraction form
    7,761.41/11,623.58 = 4,467.58/x
  3. Step 3: Cross multiply
    7,761.41x = 11,623.58 × 4,467.58
  4. Step 4: Simplify right side
    7,761.41x = 51,929,273.54
  5. Step 5: Solve for x
    x = 51,929,273.54/7,761.41
  6. Step 6: Final answer
    x = 6,690.70

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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.