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Finding the Fourth Proportional to 9.71, 14.53 and 6.85

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Solution

The fourth proportional to 9.71, 14.53 and 6.85 is: 10.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.71 : 14.53 = 6.85 : x
  2. Step 2: Convert to fraction form
    9.71/14.53 = 6.85/x
  3. Step 3: Cross multiply
    9.71x = 14.53 × 6.85
  4. Step 4: Simplify right side
    9.71x = 99.46
  5. Step 5: Solve for x
    x = 99.46/9.71
  6. Step 6: Final answer
    x = 10.25

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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.