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Finding the Fourth Proportional to 10.40, 14.26 and 9.86

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Solution

The fourth proportional to 10.40, 14.26 and 9.86 is: 13.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.40 : 14.26 = 9.86 : x
  2. Step 2: Convert to fraction form
    10.40/14.26 = 9.86/x
  3. Step 3: Cross multiply
    10.40x = 14.26 × 9.86
  4. Step 4: Simplify right side
    10.40x = 140.60
  5. Step 5: Solve for x
    x = 140.60/10.40
  6. Step 6: Final answer
    x = 13.52

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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.