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Finding the Fourth Proportional to 9.50, 14.24 and 4.99

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Solution

The fourth proportional to 9.50, 14.24 and 4.99 is: 7.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 14.24 = 4.99 : x
  2. Step 2: Convert to fraction form
    9.50/14.24 = 4.99/x
  3. Step 3: Cross multiply
    9.50x = 14.24 × 4.99
  4. Step 4: Simplify right side
    9.50x = 71.06
  5. Step 5: Solve for x
    x = 71.06/9.50
  6. Step 6: Final answer
    x = 7.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.