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Finding the Fourth Proportional to 6,586.40, 9,878.22 and 2,424.96

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Solution

The fourth proportional to 6,586.40, 9,878.22 and 2,424.96 is: 3,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.40 : 9,878.22 = 2,424.96 : x
  2. Step 2: Convert to fraction form
    6,586.40/9,878.22 = 2,424.96/x
  3. Step 3: Cross multiply
    6,586.40x = 9,878.22 × 2,424.96
  4. Step 4: Simplify right side
    6,586.40x = 23,954,288.37
  5. Step 5: Solve for x
    x = 23,954,288.37/6,586.40
  6. Step 6: Final answer
    x = 3,636.93

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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.