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Finding the Fourth Proportional to 7.65, 11.47 and 2.83

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Solution

The fourth proportional to 7.65, 11.47 and 2.83 is: 4.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 11.47 = 2.83 : x
  2. Step 2: Convert to fraction form
    7.65/11.47 = 2.83/x
  3. Step 3: Cross multiply
    7.65x = 11.47 × 2.83
  4. Step 4: Simplify right side
    7.65x = 32.50
  5. Step 5: Solve for x
    x = 32.50/7.65
  6. Step 6: Final answer
    x = 4.25

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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.