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Finding the Fourth Proportional to 7,054.97, 9,735.97 and 3,868.56

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Solution

The fourth proportional to 7,054.97, 9,735.97 and 3,868.56 is: 5,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.97 : 9,735.97 = 3,868.56 : x
  2. Step 2: Convert to fraction form
    7,054.97/9,735.97 = 3,868.56/x
  3. Step 3: Cross multiply
    7,054.97x = 9,735.97 × 3,868.56
  4. Step 4: Simplify right side
    7,054.97x = 37,664,174.43
  5. Step 5: Solve for x
    x = 37,664,174.43/7,054.97
  6. Step 6: Final answer
    x = 5,338.67

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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.