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Finding the Fourth Proportional to 6.19, 9.24 and 5.10

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Solution

The fourth proportional to 6.19, 9.24 and 5.10 is: 7.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.19 : 9.24 = 5.10 : x
  2. Step 2: Convert to fraction form
    6.19/9.24 = 5.10/x
  3. Step 3: Cross multiply
    6.19x = 9.24 × 5.10
  4. Step 4: Simplify right side
    6.19x = 47.12
  5. Step 5: Solve for x
    x = 47.12/6.19
  6. Step 6: Final answer
    x = 7.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.