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Finding the Fourth Proportional to 6,505.56, 9,758.84 and 3,217.77

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Solution

The fourth proportional to 6,505.56, 9,758.84 and 3,217.77 is: 4,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.56 : 9,758.84 = 3,217.77 : x
  2. Step 2: Convert to fraction form
    6,505.56/9,758.84 = 3,217.77/x
  3. Step 3: Cross multiply
    6,505.56x = 9,758.84 × 3,217.77
  4. Step 4: Simplify right side
    6,505.56x = 31,401,686.50
  5. Step 5: Solve for x
    x = 31,401,686.50/6,505.56
  6. Step 6: Final answer
    x = 4,826.90

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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.