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Finding the Fourth Proportional to 6,573.09, 9,854.10 and 2,872.50

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Solution

The fourth proportional to 6,573.09, 9,854.10 and 2,872.50 is: 4,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.09 : 9,854.10 = 2,872.50 : x
  2. Step 2: Convert to fraction form
    6,573.09/9,854.10 = 2,872.50/x
  3. Step 3: Cross multiply
    6,573.09x = 9,854.10 × 2,872.50
  4. Step 4: Simplify right side
    6,573.09x = 28,305,902.25
  5. Step 5: Solve for x
    x = 28,305,902.25/6,573.09
  6. Step 6: Final answer
    x = 4,306.33

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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.