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Finding the Fourth Proportional to 6,507.65, 9,755.72 and 3,043.97

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Solution

The fourth proportional to 6,507.65, 9,755.72 and 3,043.97 is: 4,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.65 : 9,755.72 = 3,043.97 : x
  2. Step 2: Convert to fraction form
    6,507.65/9,755.72 = 3,043.97/x
  3. Step 3: Cross multiply
    6,507.65x = 9,755.72 × 3,043.97
  4. Step 4: Simplify right side
    6,507.65x = 29,696,103.79
  5. Step 5: Solve for x
    x = 29,696,103.79/6,507.65
  6. Step 6: Final answer
    x = 4,563.26

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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.