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Finding the Fourth Proportional to 9,652.68, 14,479.56 and 2,727

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Solution

The fourth proportional to 9,652.68, 14,479.56 and 2,727 is: 4,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.68 : 14,479.56 = 2,727 : x
  2. Step 2: Convert to fraction form
    9,652.68/14,479.56 = 2,727/x
  3. Step 3: Cross multiply
    9,652.68x = 14,479.56 × 2,727
  4. Step 4: Simplify right side
    9,652.68x = 39,485,760.12
  5. Step 5: Solve for x
    x = 39,485,760.12/9,652.68
  6. Step 6: Final answer
    x = 4,090.65

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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.