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Finding the Fourth Proportional to 9,244.41, 12,742.31 and 7,224.30

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Solution

The fourth proportional to 9,244.41, 12,742.31 and 7,224.30 is: 9,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.41 : 12,742.31 = 7,224.30 : x
  2. Step 2: Convert to fraction form
    9,244.41/12,742.31 = 7,224.30/x
  3. Step 3: Cross multiply
    9,244.41x = 12,742.31 × 7,224.30
  4. Step 4: Simplify right side
    9,244.41x = 92,054,234.01
  5. Step 5: Solve for x
    x = 92,054,234.01/9,244.41
  6. Step 6: Final answer
    x = 9,957.83

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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.