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Finding the Fourth Proportional to 6,534.68, 9,800.19 and 2,638.17

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Solution

The fourth proportional to 6,534.68, 9,800.19 and 2,638.17 is: 3,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.68 : 9,800.19 = 2,638.17 : x
  2. Step 2: Convert to fraction form
    6,534.68/9,800.19 = 2,638.17/x
  3. Step 3: Cross multiply
    6,534.68x = 9,800.19 × 2,638.17
  4. Step 4: Simplify right side
    6,534.68x = 25,854,567.25
  5. Step 5: Solve for x
    x = 25,854,567.25/6,534.68
  6. Step 6: Final answer
    x = 3,956.52

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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.