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Finding the Fourth Proportional to 6,536.84, 9,799.58 and 3,248.24

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Solution

The fourth proportional to 6,536.84, 9,799.58 and 3,248.24 is: 4,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.84 : 9,799.58 = 3,248.24 : x
  2. Step 2: Convert to fraction form
    6,536.84/9,799.58 = 3,248.24/x
  3. Step 3: Cross multiply
    6,536.84x = 9,799.58 × 3,248.24
  4. Step 4: Simplify right side
    6,536.84x = 31,831,346.86
  5. Step 5: Solve for x
    x = 31,831,346.86/6,536.84
  6. Step 6: Final answer
    x = 4,869.54

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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.