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Finding the Fourth Proportional to 5,469.74, 7,548.81 and 3,346.68

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Solution

The fourth proportional to 5,469.74, 7,548.81 and 3,346.68 is: 4,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.74 : 7,548.81 = 3,346.68 : x
  2. Step 2: Convert to fraction form
    5,469.74/7,548.81 = 3,346.68/x
  3. Step 3: Cross multiply
    5,469.74x = 7,548.81 × 3,346.68
  4. Step 4: Simplify right side
    5,469.74x = 25,263,467.21
  5. Step 5: Solve for x
    x = 25,263,467.21/5,469.74
  6. Step 6: Final answer
    x = 4,618.77

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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.