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Finding the Fourth Proportional to 6,391.30, 9,586.16 and 1,711.66

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Solution

The fourth proportional to 6,391.30, 9,586.16 and 1,711.66 is: 2,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.30 : 9,586.16 = 1,711.66 : x
  2. Step 2: Convert to fraction form
    6,391.30/9,586.16 = 1,711.66/x
  3. Step 3: Cross multiply
    6,391.30x = 9,586.16 × 1,711.66
  4. Step 4: Simplify right side
    6,391.30x = 16,408,246.63
  5. Step 5: Solve for x
    x = 16,408,246.63/6,391.30
  6. Step 6: Final answer
    x = 2,567.28

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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.