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Finding the Fourth Proportional to 12,202.72, 18,305.16 and 3,437.72

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Solution

The fourth proportional to 12,202.72, 18,305.16 and 3,437.72 is: 5,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.72 : 18,305.16 = 3,437.72 : x
  2. Step 2: Convert to fraction form
    12,202.72/18,305.16 = 3,437.72/x
  3. Step 3: Cross multiply
    12,202.72x = 18,305.16 × 3,437.72
  4. Step 4: Simplify right side
    12,202.72x = 62,928,014.64
  5. Step 5: Solve for x
    x = 62,928,014.64/12,202.72
  6. Step 6: Final answer
    x = 5,156.88

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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.