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Finding the Fourth Proportional to 6,540.56, 9,816.96 and 4,080

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Solution

The fourth proportional to 6,540.56, 9,816.96 and 4,080 is: 6,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.56 : 9,816.96 = 4,080 : x
  2. Step 2: Convert to fraction form
    6,540.56/9,816.96 = 4,080/x
  3. Step 3: Cross multiply
    6,540.56x = 9,816.96 × 4,080
  4. Step 4: Simplify right side
    6,540.56x = 40,053,196.80
  5. Step 5: Solve for x
    x = 40,053,196.80/6,540.56
  6. Step 6: Final answer
    x = 6,123.82

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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.