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Finding the Fourth Proportional to 6,586.70, 9,883.96 and 2,429.64

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Solution

The fourth proportional to 6,586.70, 9,883.96 and 2,429.64 is: 3,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.70 : 9,883.96 = 2,429.64 : x
  2. Step 2: Convert to fraction form
    6,586.70/9,883.96 = 2,429.64/x
  3. Step 3: Cross multiply
    6,586.70x = 9,883.96 × 2,429.64
  4. Step 4: Simplify right side
    6,586.70x = 24,014,464.57
  5. Step 5: Solve for x
    x = 24,014,464.57/6,586.70
  6. Step 6: Final answer
    x = 3,645.90

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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.