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Finding the Fourth Proportional to 6,536.50, 9,800.78 and 2,636.35

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Solution

The fourth proportional to 6,536.50, 9,800.78 and 2,636.35 is: 3,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.50 : 9,800.78 = 2,636.35 : x
  2. Step 2: Convert to fraction form
    6,536.50/9,800.78 = 2,636.35/x
  3. Step 3: Cross multiply
    6,536.50x = 9,800.78 × 2,636.35
  4. Step 4: Simplify right side
    6,536.50x = 25,838,248.67
  5. Step 5: Solve for x
    x = 25,838,248.67/6,536.50
  6. Step 6: Final answer
    x = 3,952.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.