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Finding the Fourth Proportional to 7,184.82, 9,914.96 and 4,041

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Solution

The fourth proportional to 7,184.82, 9,914.96 and 4,041 is: 5,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.82 : 9,914.96 = 4,041 : x
  2. Step 2: Convert to fraction form
    7,184.82/9,914.96 = 4,041/x
  3. Step 3: Cross multiply
    7,184.82x = 9,914.96 × 4,041
  4. Step 4: Simplify right side
    7,184.82x = 40,066,333.16
  5. Step 5: Solve for x
    x = 40,066,333.16/7,184.82
  6. Step 6: Final answer
    x = 5,576.53

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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.