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Finding the Fourth Proportional to 12,494.69, 17,242.16 and 6,829.64

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Solution

The fourth proportional to 12,494.69, 17,242.16 and 6,829.64 is: 9,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.69 : 17,242.16 = 6,829.64 : x
  2. Step 2: Convert to fraction form
    12,494.69/17,242.16 = 6,829.64/x
  3. Step 3: Cross multiply
    12,494.69x = 17,242.16 × 6,829.64
  4. Step 4: Simplify right side
    12,494.69x = 117,757,745.62
  5. Step 5: Solve for x
    x = 117,757,745.62/12,494.69
  6. Step 6: Final answer
    x = 9,424.62

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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.