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Finding the Fourth Proportional to 6,507.96, 9,767.40 and 2,813.01

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Solution

The fourth proportional to 6,507.96, 9,767.40 and 2,813.01 is: 4,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.96 : 9,767.40 = 2,813.01 : x
  2. Step 2: Convert to fraction form
    6,507.96/9,767.40 = 2,813.01/x
  3. Step 3: Cross multiply
    6,507.96x = 9,767.40 × 2,813.01
  4. Step 4: Simplify right side
    6,507.96x = 27,475,793.87
  5. Step 5: Solve for x
    x = 27,475,793.87/6,507.96
  6. Step 6: Final answer
    x = 4,221.88

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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.