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Finding the Fourth Proportional to 12,468.98, 17,204.10 and 7,622.46

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Solution

The fourth proportional to 12,468.98, 17,204.10 and 7,622.46 is: 10,517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.98 : 17,204.10 = 7,622.46 : x
  2. Step 2: Convert to fraction form
    12,468.98/17,204.10 = 7,622.46/x
  3. Step 3: Cross multiply
    12,468.98x = 17,204.10 × 7,622.46
  4. Step 4: Simplify right side
    12,468.98x = 131,137,564.09
  5. Step 5: Solve for x
    x = 131,137,564.09/12,468.98
  6. Step 6: Final answer
    x = 10,517.11

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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.