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Finding the Fourth Proportional to 7,714.73, 11,504.36 and 7,644.57

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Solution

The fourth proportional to 7,714.73, 11,504.36 and 7,644.57 is: 11,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.73 : 11,504.36 = 7,644.57 : x
  2. Step 2: Convert to fraction form
    7,714.73/11,504.36 = 7,644.57/x
  3. Step 3: Cross multiply
    7,714.73x = 11,504.36 × 7,644.57
  4. Step 4: Simplify right side
    7,714.73x = 87,945,818.29
  5. Step 5: Solve for x
    x = 87,945,818.29/7,714.73
  6. Step 6: Final answer
    x = 11,399.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.