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Finding the Fourth Proportional to 11,705, 16,153.14 and 6,991.96

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Solution

The fourth proportional to 11,705, 16,153.14 and 6,991.96 is: 9,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705 : 16,153.14 = 6,991.96 : x
  2. Step 2: Convert to fraction form
    11,705/16,153.14 = 6,991.96/x
  3. Step 3: Cross multiply
    11,705x = 16,153.14 × 6,991.96
  4. Step 4: Simplify right side
    11,705x = 112,942,108.75
  5. Step 5: Solve for x
    x = 112,942,108.75/11,705
  6. Step 6: Final answer
    x = 9,649.05

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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.