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Finding the Fourth Proportional to 6,507.73, 9,758.77 and 2,064.31

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Solution

The fourth proportional to 6,507.73, 9,758.77 and 2,064.31 is: 3,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.73 : 9,758.77 = 2,064.31 : x
  2. Step 2: Convert to fraction form
    6,507.73/9,758.77 = 2,064.31/x
  3. Step 3: Cross multiply
    6,507.73x = 9,758.77 × 2,064.31
  4. Step 4: Simplify right side
    6,507.73x = 20,145,126.50
  5. Step 5: Solve for x
    x = 20,145,126.50/6,507.73
  6. Step 6: Final answer
    x = 3,095.57

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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.