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Finding the Fourth Proportional to 6,540.80, 9,807.84 and 1,923.20

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Solution

The fourth proportional to 6,540.80, 9,807.84 and 1,923.20 is: 2,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.80 : 9,807.84 = 1,923.20 : x
  2. Step 2: Convert to fraction form
    6,540.80/9,807.84 = 1,923.20/x
  3. Step 3: Cross multiply
    6,540.80x = 9,807.84 × 1,923.20
  4. Step 4: Simplify right side
    6,540.80x = 18,862,437.89
  5. Step 5: Solve for x
    x = 18,862,437.89/6,540.80
  6. Step 6: Final answer
    x = 2,883.81

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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.