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Finding the Fourth Proportional to 9,652.50, 14,481.18 and 2,727

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Solution

The fourth proportional to 9,652.50, 14,481.18 and 2,727 is: 4,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.50 : 14,481.18 = 2,727 : x
  2. Step 2: Convert to fraction form
    9,652.50/14,481.18 = 2,727/x
  3. Step 3: Cross multiply
    9,652.50x = 14,481.18 × 2,727
  4. Step 4: Simplify right side
    9,652.50x = 39,490,177.86
  5. Step 5: Solve for x
    x = 39,490,177.86/9,652.50
  6. Step 6: Final answer
    x = 4,091.19

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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.