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Finding the Fourth Proportional to 6,515.46, 9,774 and 2,131.74

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Solution

The fourth proportional to 6,515.46, 9,774 and 2,131.74 is: 3,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.46 : 9,774 = 2,131.74 : x
  2. Step 2: Convert to fraction form
    6,515.46/9,774 = 2,131.74/x
  3. Step 3: Cross multiply
    6,515.46x = 9,774 × 2,131.74
  4. Step 4: Simplify right side
    6,515.46x = 20,835,626.76
  5. Step 5: Solve for x
    x = 20,835,626.76/6,515.46
  6. Step 6: Final answer
    x = 3,197.88

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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.