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Finding the Fourth Proportional to 12,494.88, 17,243.10 and 6,829.74

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Solution

The fourth proportional to 12,494.88, 17,243.10 and 6,829.74 is: 9,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.88 : 17,243.10 = 6,829.74 : x
  2. Step 2: Convert to fraction form
    12,494.88/17,243.10 = 6,829.74/x
  3. Step 3: Cross multiply
    12,494.88x = 17,243.10 × 6,829.74
  4. Step 4: Simplify right side
    12,494.88x = 117,765,889.79
  5. Step 5: Solve for x
    x = 117,765,889.79/12,494.88
  6. Step 6: Final answer
    x = 9,425.13

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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.