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Finding the Fourth Proportional to 6,502.68, 9,754.02 and 2,120.14

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Solution

The fourth proportional to 6,502.68, 9,754.02 and 2,120.14 is: 3,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.68 : 9,754.02 = 2,120.14 : x
  2. Step 2: Convert to fraction form
    6,502.68/9,754.02 = 2,120.14/x
  3. Step 3: Cross multiply
    6,502.68x = 9,754.02 × 2,120.14
  4. Step 4: Simplify right side
    6,502.68x = 20,679,887.96
  5. Step 5: Solve for x
    x = 20,679,887.96/6,502.68
  6. Step 6: Final answer
    x = 3,180.21

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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.