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Finding the Fourth Proportional to 6,503.85, 9,757.29 and 2,121.35

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Solution

The fourth proportional to 6,503.85, 9,757.29 and 2,121.35 is: 3,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.85 : 9,757.29 = 2,121.35 : x
  2. Step 2: Convert to fraction form
    6,503.85/9,757.29 = 2,121.35/x
  3. Step 3: Cross multiply
    6,503.85x = 9,757.29 × 2,121.35
  4. Step 4: Simplify right side
    6,503.85x = 20,698,586.31
  5. Step 5: Solve for x
    x = 20,698,586.31/6,503.85
  6. Step 6: Final answer
    x = 3,182.51

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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.