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Finding the Fourth Proportional to 12,493.69, 17,241.36 and 6,828.50

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Solution

The fourth proportional to 12,493.69, 17,241.36 and 6,828.50 is: 9,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.69 : 17,241.36 = 6,828.50 : x
  2. Step 2: Convert to fraction form
    12,493.69/17,241.36 = 6,828.50/x
  3. Step 3: Cross multiply
    12,493.69x = 17,241.36 × 6,828.50
  4. Step 4: Simplify right side
    12,493.69x = 117,732,540.55
  5. Step 5: Solve for x
    x = 117,732,540.55/12,493.69
  6. Step 6: Final answer
    x = 9,423.36

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1.5x scale

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.