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Finding the Fourth Proportional to 6.51, 9.78 and 3.13

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Solution

The fourth proportional to 6.51, 9.78 and 3.13 is: 4.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.51 : 9.78 = 3.13 : x
  2. Step 2: Convert to fraction form
    6.51/9.78 = 3.13/x
  3. Step 3: Cross multiply
    6.51x = 9.78 × 3.13
  4. Step 4: Simplify right side
    6.51x = 30.65
  5. Step 5: Solve for x
    x = 30.65/6.51
  6. Step 6: Final answer
    x = 4.71

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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.