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Finding the Fourth Proportional to 6,473.08, 9,711.78 and 2,773.72

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Solution

The fourth proportional to 6,473.08, 9,711.78 and 2,773.72 is: 4,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.08 : 9,711.78 = 2,773.72 : x
  2. Step 2: Convert to fraction form
    6,473.08/9,711.78 = 2,773.72/x
  3. Step 3: Cross multiply
    6,473.08x = 9,711.78 × 2,773.72
  4. Step 4: Simplify right side
    6,473.08x = 26,937,758.42
  5. Step 5: Solve for x
    x = 26,937,758.42/6,473.08
  6. Step 6: Final answer
    x = 4,161.51

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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.