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Finding the Fourth Proportional to 11,744.22, 16,203.78 and 6,706.62

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Solution

The fourth proportional to 11,744.22, 16,203.78 and 6,706.62 is: 9,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.22 : 16,203.78 = 6,706.62 : x
  2. Step 2: Convert to fraction form
    11,744.22/16,203.78 = 6,706.62/x
  3. Step 3: Cross multiply
    11,744.22x = 16,203.78 × 6,706.62
  4. Step 4: Simplify right side
    11,744.22x = 108,672,595.02
  5. Step 5: Solve for x
    x = 108,672,595.02/11,744.22
  6. Step 6: Final answer
    x = 9,253.28

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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.