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Finding the Fourth Proportional to 5,469.38, 7,530.81 and 4,536.26

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Solution

The fourth proportional to 5,469.38, 7,530.81 and 4,536.26 is: 6,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.38 : 7,530.81 = 4,536.26 : x
  2. Step 2: Convert to fraction form
    5,469.38/7,530.81 = 4,536.26/x
  3. Step 3: Cross multiply
    5,469.38x = 7,530.81 × 4,536.26
  4. Step 4: Simplify right side
    5,469.38x = 34,161,712.17
  5. Step 5: Solve for x
    x = 34,161,712.17/5,469.38
  6. Step 6: Final answer
    x = 6,245.99

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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.