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Finding the Fourth Proportional to 9.46, 14.20 and 4.64

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Solution

The fourth proportional to 9.46, 14.20 and 4.64 is: 6.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.46 : 14.20 = 4.64 : x
  2. Step 2: Convert to fraction form
    9.46/14.20 = 4.64/x
  3. Step 3: Cross multiply
    9.46x = 14.20 × 4.64
  4. Step 4: Simplify right side
    9.46x = 65.90
  5. Step 5: Solve for x
    x = 65.90/9.46
  6. Step 6: Final answer
    x = 6.97

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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.