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Finding the Fourth Proportional to 9,229.44, 13,848.22 and 4,845.88

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Solution

The fourth proportional to 9,229.44, 13,848.22 and 4,845.88 is: 7,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.44 : 13,848.22 = 4,845.88 : x
  2. Step 2: Convert to fraction form
    9,229.44/13,848.22 = 4,845.88/x
  3. Step 3: Cross multiply
    9,229.44x = 13,848.22 × 4,845.88
  4. Step 4: Simplify right side
    9,229.44x = 67,106,812.33
  5. Step 5: Solve for x
    x = 67,106,812.33/9,229.44
  6. Step 6: Final answer
    x = 7,270.95

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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.