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Finding the Fourth Proportional to 6,461.37, 9,691.92 and 2,078.46

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Solution

The fourth proportional to 6,461.37, 9,691.92 and 2,078.46 is: 3,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.37 : 9,691.92 = 2,078.46 : x
  2. Step 2: Convert to fraction form
    6,461.37/9,691.92 = 2,078.46/x
  3. Step 3: Cross multiply
    6,461.37x = 9,691.92 × 2,078.46
  4. Step 4: Simplify right side
    6,461.37x = 20,144,268.04
  5. Step 5: Solve for x
    x = 20,144,268.04/6,461.37
  6. Step 6: Final answer
    x = 3,117.65

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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.