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Finding the Fourth Proportional to 6,584.60, 9,865.56 and 3,950.48

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Solution

The fourth proportional to 6,584.60, 9,865.56 and 3,950.48 is: 5,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.60 : 9,865.56 = 3,950.48 : x
  2. Step 2: Convert to fraction form
    6,584.60/9,865.56 = 3,950.48/x
  3. Step 3: Cross multiply
    6,584.60x = 9,865.56 × 3,950.48
  4. Step 4: Simplify right side
    6,584.60x = 38,973,697.47
  5. Step 5: Solve for x
    x = 38,973,697.47/6,584.60
  6. Step 6: Final answer
    x = 5,918.92

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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.