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Finding the Fourth Proportional to 7, 9.66 and 4.13

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Solution

The fourth proportional to 7, 9.66 and 4.13 is: 5.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7 : 9.66 = 4.13 : x
  2. Step 2: Convert to fraction form
    7/9.66 = 4.13/x
  3. Step 3: Cross multiply
    7x = 9.66 × 4.13
  4. Step 4: Simplify right side
    7x = 39.86
  5. Step 5: Solve for x
    x = 39.86/7
  6. Step 6: Final answer
    x = 5.69

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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.