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Finding the Fourth Proportional to 9.53, 13.16 and 6.46

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Solution

The fourth proportional to 9.53, 13.16 and 6.46 is: 8.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.53 : 13.16 = 6.46 : x
  2. Step 2: Convert to fraction form
    9.53/13.16 = 6.46/x
  3. Step 3: Cross multiply
    9.53x = 13.16 × 6.46
  4. Step 4: Simplify right side
    9.53x = 85.01
  5. Step 5: Solve for x
    x = 85.01/9.53
  6. Step 6: Final answer
    x = 8.92

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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.