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Finding the Fourth Proportional to 6,396.53, 9,588.19 and 3,468.65

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Solution

The fourth proportional to 6,396.53, 9,588.19 and 3,468.65 is: 5,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.53 : 9,588.19 = 3,468.65 : x
  2. Step 2: Convert to fraction form
    6,396.53/9,588.19 = 3,468.65/x
  3. Step 3: Cross multiply
    6,396.53x = 9,588.19 × 3,468.65
  4. Step 4: Simplify right side
    6,396.53x = 33,258,018.63
  5. Step 5: Solve for x
    x = 33,258,018.63/6,396.53
  6. Step 6: Final answer
    x = 5,199.39

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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.