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Finding the Fourth Proportional to 17,097.75, 25,649.96 and 6,567

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Solution

The fourth proportional to 17,097.75, 25,649.96 and 6,567 is: 9,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.75 : 25,649.96 = 6,567 : x
  2. Step 2: Convert to fraction form
    17,097.75/25,649.96 = 6,567/x
  3. Step 3: Cross multiply
    17,097.75x = 25,649.96 × 6,567
  4. Step 4: Simplify right side
    17,097.75x = 168,443,254.49
  5. Step 5: Solve for x
    x = 168,443,254.49/17,097.75
  6. Step 6: Final answer
    x = 9,851.78

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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.