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Finding the Fourth Proportional to 7.59, 10.38 and 7.24

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Solution

The fourth proportional to 7.59, 10.38 and 7.24 is: 9.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.59 : 10.38 = 7.24 : x
  2. Step 2: Convert to fraction form
    7.59/10.38 = 7.24/x
  3. Step 3: Cross multiply
    7.59x = 10.38 × 7.24
  4. Step 4: Simplify right side
    7.59x = 75.13
  5. Step 5: Solve for x
    x = 75.13/7.59
  6. Step 6: Final answer
    x = 9.89

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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.