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Finding the Fourth Proportional to 9,954.15, 13,736.10 and 5,705.22

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Solution

The fourth proportional to 9,954.15, 13,736.10 and 5,705.22 is: 7,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.15 : 13,736.10 = 5,705.22 : x
  2. Step 2: Convert to fraction form
    9,954.15/13,736.10 = 5,705.22/x
  3. Step 3: Cross multiply
    9,954.15x = 13,736.10 × 5,705.22
  4. Step 4: Simplify right side
    9,954.15x = 78,367,472.44
  5. Step 5: Solve for x
    x = 78,367,472.44/9,954.15
  6. Step 6: Final answer
    x = 7,872.84

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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.