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Finding the Fourth Proportional to 6,540.48, 9,813.96 and 3,253.50

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Solution

The fourth proportional to 6,540.48, 9,813.96 and 3,253.50 is: 4,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.48 : 9,813.96 = 3,253.50 : x
  2. Step 2: Convert to fraction form
    6,540.48/9,813.96 = 3,253.50/x
  3. Step 3: Cross multiply
    6,540.48x = 9,813.96 × 3,253.50
  4. Step 4: Simplify right side
    6,540.48x = 31,929,718.86
  5. Step 5: Solve for x
    x = 31,929,718.86/6,540.48
  6. Step 6: Final answer
    x = 4,881.86

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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.