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Finding the Fourth Proportional to 12,644.80, 17,459.16 and 8,171.20

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Solution

The fourth proportional to 12,644.80, 17,459.16 and 8,171.20 is: 11,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.80 : 17,459.16 = 8,171.20 : x
  2. Step 2: Convert to fraction form
    12,644.80/17,459.16 = 8,171.20/x
  3. Step 3: Cross multiply
    12,644.80x = 17,459.16 × 8,171.20
  4. Step 4: Simplify right side
    12,644.80x = 142,662,288.19
  5. Step 5: Solve for x
    x = 142,662,288.19/12,644.80
  6. Step 6: Final answer
    x = 11,282.29

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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.