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Finding the Fourth Proportional to 7.43, 10.26 and 5.00

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Solution

The fourth proportional to 7.43, 10.26 and 5.00 is: 6.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.43 : 10.26 = 5.00 : x
  2. Step 2: Convert to fraction form
    7.43/10.26 = 5.00/x
  3. Step 3: Cross multiply
    7.43x = 10.26 × 5.00
  4. Step 4: Simplify right side
    7.43x = 51.33
  5. Step 5: Solve for x
    x = 51.33/7.43
  6. Step 6: Final answer
    x = 6.91

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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.