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Finding the Fourth Proportional to 6,474.64, 9,711.78 and 2,775.02

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Solution

The fourth proportional to 6,474.64, 9,711.78 and 2,775.02 is: 4,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.64 : 9,711.78 = 2,775.02 : x
  2. Step 2: Convert to fraction form
    6,474.64/9,711.78 = 2,775.02/x
  3. Step 3: Cross multiply
    6,474.64x = 9,711.78 × 2,775.02
  4. Step 4: Simplify right side
    6,474.64x = 26,950,383.74
  5. Step 5: Solve for x
    x = 26,950,383.74/6,474.64
  6. Step 6: Final answer
    x = 4,162.45

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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.