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Finding the Fourth Proportional to 12,494.62, 17,242.05 and 6,829.55

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Solution

The fourth proportional to 12,494.62, 17,242.05 and 6,829.55 is: 9,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.62 : 17,242.05 = 6,829.55 : x
  2. Step 2: Convert to fraction form
    12,494.62/17,242.05 = 6,829.55/x
  3. Step 3: Cross multiply
    12,494.62x = 17,242.05 × 6,829.55
  4. Step 4: Simplify right side
    12,494.62x = 117,755,442.58
  5. Step 5: Solve for x
    x = 117,755,442.58/12,494.62
  6. Step 6: Final answer
    x = 9,424.49

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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.