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Finding the Fourth Proportional to 6,296, 8,688.84 and 3,501.68

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Solution

The fourth proportional to 6,296, 8,688.84 and 3,501.68 is: 4,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296 : 8,688.84 = 3,501.68 : x
  2. Step 2: Convert to fraction form
    6,296/8,688.84 = 3,501.68/x
  3. Step 3: Cross multiply
    6,296x = 8,688.84 × 3,501.68
  4. Step 4: Simplify right side
    6,296x = 30,425,537.25
  5. Step 5: Solve for x
    x = 30,425,537.25/6,296
  6. Step 6: Final answer
    x = 4,832.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.