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Finding the Fourth Proportional to 7.84, 10.78 and 7.50

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Solution

The fourth proportional to 7.84, 10.78 and 7.50 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.84 : 10.78 = 7.50 : x
  2. Step 2: Convert to fraction form
    7.84/10.78 = 7.50/x
  3. Step 3: Cross multiply
    7.84x = 10.78 × 7.50
  4. Step 4: Simplify right side
    7.84x = 80.85
  5. Step 5: Solve for x
    x = 80.85/7.84
  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.