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Finding the Fourth Proportional to 6,588, 9,869.64 and 3,297.24

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Solution

The fourth proportional to 6,588, 9,869.64 and 3,297.24 is: 4,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588 : 9,869.64 = 3,297.24 : x
  2. Step 2: Convert to fraction form
    6,588/9,869.64 = 3,297.24/x
  3. Step 3: Cross multiply
    6,588x = 9,869.64 × 3,297.24
  4. Step 4: Simplify right side
    6,588x = 32,542,571.79
  5. Step 5: Solve for x
    x = 32,542,571.79/6,588
  6. Step 6: Final answer
    x = 4,939.67

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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.