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Finding the Fourth Proportional to 6,962.54, 10,435.17 and 3,259.94

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Solution

The fourth proportional to 6,962.54, 10,435.17 and 3,259.94 is: 4,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.54 : 10,435.17 = 3,259.94 : x
  2. Step 2: Convert to fraction form
    6,962.54/10,435.17 = 3,259.94/x
  3. Step 3: Cross multiply
    6,962.54x = 10,435.17 × 3,259.94
  4. Step 4: Simplify right side
    6,962.54x = 34,018,028.09
  5. Step 5: Solve for x
    x = 34,018,028.09/6,962.54
  6. Step 6: Final answer
    x = 4,885.86

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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.