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Finding the Fourth Proportional to 9.29, 12.83 and 7.46

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Solution

The fourth proportional to 9.29, 12.83 and 7.46 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.29 : 12.83 = 7.46 : x
  2. Step 2: Convert to fraction form
    9.29/12.83 = 7.46/x
  3. Step 3: Cross multiply
    9.29x = 12.83 × 7.46
  4. Step 4: Simplify right side
    9.29x = 95.71
  5. Step 5: Solve for x
    x = 95.71/9.29
  6. Step 6: Final answer
    x = 10.31

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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.