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Finding the Fourth Proportional to 6,234.48, 9,353.16 and 2,772

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Solution

The fourth proportional to 6,234.48, 9,353.16 and 2,772 is: 4,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.48 : 9,353.16 = 2,772 : x
  2. Step 2: Convert to fraction form
    6,234.48/9,353.16 = 2,772/x
  3. Step 3: Cross multiply
    6,234.48x = 9,353.16 × 2,772
  4. Step 4: Simplify right side
    6,234.48x = 25,926,959.52
  5. Step 5: Solve for x
    x = 25,926,959.52/6,234.48
  6. Step 6: Final answer
    x = 4,158.64

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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.