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Finding the Fourth Proportional to 6,723.29, 10,034.09 and 6,548.33

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Solution

The fourth proportional to 6,723.29, 10,034.09 and 6,548.33 is: 9,772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.29 : 10,034.09 = 6,548.33 : x
  2. Step 2: Convert to fraction form
    6,723.29/10,034.09 = 6,548.33/x
  3. Step 3: Cross multiply
    6,723.29x = 10,034.09 × 6,548.33
  4. Step 4: Simplify right side
    6,723.29x = 65,706,449.66
  5. Step 5: Solve for x
    x = 65,706,449.66/6,723.29
  6. Step 6: Final answer
    x = 9,772.97

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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.