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Finding the Fourth Proportional to 12,497.82, 18,725.94 and 8,792.26

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Solution

The fourth proportional to 12,497.82, 18,725.94 and 8,792.26 is: 13,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.82 : 18,725.94 = 8,792.26 : x
  2. Step 2: Convert to fraction form
    12,497.82/18,725.94 = 8,792.26/x
  3. Step 3: Cross multiply
    12,497.82x = 18,725.94 × 8,792.26
  4. Step 4: Simplify right side
    12,497.82x = 164,643,333.22
  5. Step 5: Solve for x
    x = 164,643,333.22/12,497.82
  6. Step 6: Final answer
    x = 13,173.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.