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Finding the Fourth Proportional to 11,970.20, 17,956.20 and 3,204.92

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Solution

The fourth proportional to 11,970.20, 17,956.20 and 3,204.92 is: 4,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.20 : 17,956.20 = 3,204.92 : x
  2. Step 2: Convert to fraction form
    11,970.20/17,956.20 = 3,204.92/x
  3. Step 3: Cross multiply
    11,970.20x = 17,956.20 × 3,204.92
  4. Step 4: Simplify right side
    11,970.20x = 57,548,184.50
  5. Step 5: Solve for x
    x = 57,548,184.50/11,970.20
  6. Step 6: Final answer
    x = 4,807.62

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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.