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Finding the Fourth Proportional to 5,448.13, 7,469.42 and 5,349.71

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Solution

The fourth proportional to 5,448.13, 7,469.42 and 5,349.71 is: 7,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.13 : 7,469.42 = 5,349.71 : x
  2. Step 2: Convert to fraction form
    5,448.13/7,469.42 = 5,349.71/x
  3. Step 3: Cross multiply
    5,448.13x = 7,469.42 × 5,349.71
  4. Step 4: Simplify right side
    5,448.13x = 39,959,222.79
  5. Step 5: Solve for x
    x = 39,959,222.79/5,448.13
  6. Step 6: Final answer
    x = 7,334.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.