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Finding the Fourth Proportional to 10.33, 14.26 and 6.24

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Solution

The fourth proportional to 10.33, 14.26 and 6.24 is: 8.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.33 : 14.26 = 6.24 : x
  2. Step 2: Convert to fraction form
    10.33/14.26 = 6.24/x
  3. Step 3: Cross multiply
    10.33x = 14.26 × 6.24
  4. Step 4: Simplify right side
    10.33x = 88.89
  5. Step 5: Solve for x
    x = 88.89/10.33
  6. Step 6: Final answer
    x = 8.60

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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.