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Finding the Fourth Proportional to 11,734.02, 16,194.10 and 6,698.99

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Solution

The fourth proportional to 11,734.02, 16,194.10 and 6,698.99 is: 9,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.02 : 16,194.10 = 6,698.99 : x
  2. Step 2: Convert to fraction form
    11,734.02/16,194.10 = 6,698.99/x
  3. Step 3: Cross multiply
    11,734.02x = 16,194.10 × 6,698.99
  4. Step 4: Simplify right side
    11,734.02x = 108,484,113.96
  5. Step 5: Solve for x
    x = 108,484,113.96/11,734.02
  6. Step 6: Final answer
    x = 9,245.27

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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.