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Finding the Fourth Proportional to 6,468.59, 9,705.29 and 2,773.71

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Solution

The fourth proportional to 6,468.59, 9,705.29 and 2,773.71 is: 4,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.59 : 9,705.29 = 2,773.71 : x
  2. Step 2: Convert to fraction form
    6,468.59/9,705.29 = 2,773.71/x
  3. Step 3: Cross multiply
    6,468.59x = 9,705.29 × 2,773.71
  4. Step 4: Simplify right side
    6,468.59x = 26,919,646.06
  5. Step 5: Solve for x
    x = 26,919,646.06/6,468.59
  6. Step 6: Final answer
    x = 4,161.59

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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.