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Finding the Fourth Proportional to 5,500, 7,568.13 and 5,346.91

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Solution

The fourth proportional to 5,500, 7,568.13 and 5,346.91 is: 7,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500 : 7,568.13 = 5,346.91 : x
  2. Step 2: Convert to fraction form
    5,500/7,568.13 = 5,346.91/x
  3. Step 3: Cross multiply
    5,500x = 7,568.13 × 5,346.91
  4. Step 4: Simplify right side
    5,500x = 40,466,109.98
  5. Step 5: Solve for x
    x = 40,466,109.98/5,500
  6. Step 6: Final answer
    x = 7,357.47

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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.