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Finding the Fourth Proportional to 6,451.84, 9,663.31 and 5,608.09

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Solution

The fourth proportional to 6,451.84, 9,663.31 and 5,608.09 is: 8,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.84 : 9,663.31 = 5,608.09 : x
  2. Step 2: Convert to fraction form
    6,451.84/9,663.31 = 5,608.09/x
  3. Step 3: Cross multiply
    6,451.84x = 9,663.31 × 5,608.09
  4. Step 4: Simplify right side
    6,451.84x = 54,192,635.82
  5. Step 5: Solve for x
    x = 54,192,635.82/6,451.84
  6. Step 6: Final answer
    x = 8,399.57

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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.