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Finding the Fourth Proportional to 6,463.44, 9,686.88 and 5,627.09

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Solution

The fourth proportional to 6,463.44, 9,686.88 and 5,627.09 is: 8,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.44 : 9,686.88 = 5,627.09 : x
  2. Step 2: Convert to fraction form
    6,463.44/9,686.88 = 5,627.09/x
  3. Step 3: Cross multiply
    6,463.44x = 9,686.88 × 5,627.09
  4. Step 4: Simplify right side
    6,463.44x = 54,508,897.14
  5. Step 5: Solve for x
    x = 54,508,897.14/6,463.44
  6. Step 6: Final answer
    x = 8,433.43

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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.