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Finding the Fourth Proportional to 8,127, 12,190.56 and 1,971

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Solution

The fourth proportional to 8,127, 12,190.56 and 1,971 is: 2,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 12,190.56 = 1,971 : x
  2. Step 2: Convert to fraction form
    8,127/12,190.56 = 1,971/x
  3. Step 3: Cross multiply
    8,127x = 12,190.56 × 1,971
  4. Step 4: Simplify right side
    8,127x = 24,027,593.76
  5. Step 5: Solve for x
    x = 24,027,593.76/8,127
  6. Step 6: Final answer
    x = 2,956.51

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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.