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Finding the Fourth Proportional to 9,517.73, 14,276.70 and 4,253

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Solution

The fourth proportional to 9,517.73, 14,276.70 and 4,253 is: 6,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.73 : 14,276.70 = 4,253 : x
  2. Step 2: Convert to fraction form
    9,517.73/14,276.70 = 4,253/x
  3. Step 3: Cross multiply
    9,517.73x = 14,276.70 × 4,253
  4. Step 4: Simplify right side
    9,517.73x = 60,718,783.84
  5. Step 5: Solve for x
    x = 60,718,783.84/9,517.73
  6. Step 6: Final answer
    x = 6,379.54

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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.