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Finding the Fourth Proportional to 6,485.16, 9,727.38 and 5,763

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Solution

The fourth proportional to 6,485.16, 9,727.38 and 5,763 is: 8,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.16 : 9,727.38 = 5,763 : x
  2. Step 2: Convert to fraction form
    6,485.16/9,727.38 = 5,763/x
  3. Step 3: Cross multiply
    6,485.16x = 9,727.38 × 5,763
  4. Step 4: Simplify right side
    6,485.16x = 56,058,890.94
  5. Step 5: Solve for x
    x = 56,058,890.94/6,485.16
  6. Step 6: Final answer
    x = 8,644.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.