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Finding the Fourth Proportional to 5,446.62, 7,507.62 and 4,450.14

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Solution

The fourth proportional to 5,446.62, 7,507.62 and 4,450.14 is: 6,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.62 : 7,507.62 = 4,450.14 : x
  2. Step 2: Convert to fraction form
    5,446.62/7,507.62 = 4,450.14/x
  3. Step 3: Cross multiply
    5,446.62x = 7,507.62 × 4,450.14
  4. Step 4: Simplify right side
    5,446.62x = 33,409,960.07
  5. Step 5: Solve for x
    x = 33,409,960.07/5,446.62
  6. Step 6: Final answer
    x = 6,134.07

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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.