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Finding the Fourth Proportional to 6,494.92, 9,746.70 and 3,032.44

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Solution

The fourth proportional to 6,494.92, 9,746.70 and 3,032.44 is: 4,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.92 : 9,746.70 = 3,032.44 : x
  2. Step 2: Convert to fraction form
    6,494.92/9,746.70 = 3,032.44/x
  3. Step 3: Cross multiply
    6,494.92x = 9,746.70 × 3,032.44
  4. Step 4: Simplify right side
    6,494.92x = 29,556,282.95
  5. Step 5: Solve for x
    x = 29,556,282.95/6,494.92
  6. Step 6: Final answer
    x = 4,550.68

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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.