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Finding the Fourth Proportional to 6,503.80, 9,754.72 and 2,121.24

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Solution

The fourth proportional to 6,503.80, 9,754.72 and 2,121.24 is: 3,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.80 : 9,754.72 = 2,121.24 : x
  2. Step 2: Convert to fraction form
    6,503.80/9,754.72 = 2,121.24/x
  3. Step 3: Cross multiply
    6,503.80x = 9,754.72 × 2,121.24
  4. Step 4: Simplify right side
    6,503.80x = 20,692,102.25
  5. Step 5: Solve for x
    x = 20,692,102.25/6,503.80
  6. Step 6: Final answer
    x = 3,181.54

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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.