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Finding the Fourth Proportional to 11,829.68, 16,323.18 and 6,794.11

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Solution

The fourth proportional to 11,829.68, 16,323.18 and 6,794.11 is: 9,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.68 : 16,323.18 = 6,794.11 : x
  2. Step 2: Convert to fraction form
    11,829.68/16,323.18 = 6,794.11/x
  3. Step 3: Cross multiply
    11,829.68x = 16,323.18 × 6,794.11
  4. Step 4: Simplify right side
    11,829.68x = 110,901,398.85
  5. Step 5: Solve for x
    x = 110,901,398.85/11,829.68
  6. Step 6: Final answer
    x = 9,374.85

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1.5x scale

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.