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Finding the Fourth Proportional to 12,902.60, 17,809.62 and 8,186.60

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Solution

The fourth proportional to 12,902.60, 17,809.62 and 8,186.60 is: 11,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.60 : 17,809.62 = 8,186.60 : x
  2. Step 2: Convert to fraction form
    12,902.60/17,809.62 = 8,186.60/x
  3. Step 3: Cross multiply
    12,902.60x = 17,809.62 × 8,186.60
  4. Step 4: Simplify right side
    12,902.60x = 145,800,235.09
  5. Step 5: Solve for x
    x = 145,800,235.09/12,902.60
  6. Step 6: Final answer
    x = 11,300.07

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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.