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Finding the Fourth Proportional to 11,464.50, 17,197.56 and 4,539

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Solution

The fourth proportional to 11,464.50, 17,197.56 and 4,539 is: 6,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.50 : 17,197.56 = 4,539 : x
  2. Step 2: Convert to fraction form
    11,464.50/17,197.56 = 4,539/x
  3. Step 3: Cross multiply
    11,464.50x = 17,197.56 × 4,539
  4. Step 4: Simplify right side
    11,464.50x = 78,059,724.84
  5. Step 5: Solve for x
    x = 78,059,724.84/11,464.50
  6. Step 6: Final answer
    x = 6,808.82

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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.