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Finding the Fourth Proportional to 6,471.78, 9,706.07 and 2,773.59

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Solution

The fourth proportional to 6,471.78, 9,706.07 and 2,773.59 is: 4,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.78 : 9,706.07 = 2,773.59 : x
  2. Step 2: Convert to fraction form
    6,471.78/9,706.07 = 2,773.59/x
  3. Step 3: Cross multiply
    6,471.78x = 9,706.07 × 2,773.59
  4. Step 4: Simplify right side
    6,471.78x = 26,920,676.02
  5. Step 5: Solve for x
    x = 26,920,676.02/6,471.78
  6. Step 6: Final answer
    x = 4,159.70

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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.