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Finding the Fourth Proportional to 7,714.73, 11,578.61 and 5,964.45

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Solution

The fourth proportional to 7,714.73, 11,578.61 and 5,964.45 is: 8,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.73 : 11,578.61 = 5,964.45 : x
  2. Step 2: Convert to fraction form
    7,714.73/11,578.61 = 5,964.45/x
  3. Step 3: Cross multiply
    7,714.73x = 11,578.61 × 5,964.45
  4. Step 4: Simplify right side
    7,714.73x = 69,060,010.59
  5. Step 5: Solve for x
    x = 69,060,010.59/7,714.73
  6. Step 6: Final answer
    x = 8,951.71

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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.