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Finding the Fourth Proportional to 24.73, 37.10 and 9.53

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Solution

The fourth proportional to 24.73, 37.10 and 9.53 is: 14.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.73 : 37.10 = 9.53 : x
  2. Step 2: Convert to fraction form
    24.73/37.10 = 9.53/x
  3. Step 3: Cross multiply
    24.73x = 37.10 × 9.53
  4. Step 4: Simplify right side
    24.73x = 353.53
  5. Step 5: Solve for x
    x = 353.53/24.73
  6. Step 6: Final answer
    x = 14.30

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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.