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Finding the Fourth Proportional to 7.14, 9.86 and 5.53

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Solution

The fourth proportional to 7.14, 9.86 and 5.53 is: 7.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.14 : 9.86 = 5.53 : x
  2. Step 2: Convert to fraction form
    7.14/9.86 = 5.53/x
  3. Step 3: Cross multiply
    7.14x = 9.86 × 5.53
  4. Step 4: Simplify right side
    7.14x = 54.53
  5. Step 5: Solve for x
    x = 54.53/7.14
  6. Step 6: Final answer
    x = 7.64

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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.