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Finding the Fourth Proportional to 12,400.91, 17,113.38 and 6,735.74

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Solution

The fourth proportional to 12,400.91, 17,113.38 and 6,735.74 is: 9,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.91 : 17,113.38 = 6,735.74 : x
  2. Step 2: Convert to fraction form
    12,400.91/17,113.38 = 6,735.74/x
  3. Step 3: Cross multiply
    12,400.91x = 17,113.38 × 6,735.74
  4. Step 4: Simplify right side
    12,400.91x = 115,271,278.20
  5. Step 5: Solve for x
    x = 115,271,278.20/12,400.91
  6. Step 6: Final answer
    x = 9,295.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.