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Finding the Fourth Proportional to 12,251.72, 18,382.72 and 6,412.16

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Solution

The fourth proportional to 12,251.72, 18,382.72 and 6,412.16 is: 9,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.72 : 18,382.72 = 6,412.16 : x
  2. Step 2: Convert to fraction form
    12,251.72/18,382.72 = 6,412.16/x
  3. Step 3: Cross multiply
    12,251.72x = 18,382.72 × 6,412.16
  4. Step 4: Simplify right side
    12,251.72x = 117,872,941.88
  5. Step 5: Solve for x
    x = 117,872,941.88/12,251.72
  6. Step 6: Final answer
    x = 9,620.93

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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.