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Finding the Fourth Proportional to 6,999.10, 9,658.38 and 4,346.71

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Solution

The fourth proportional to 6,999.10, 9,658.38 and 4,346.71 is: 5,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.10 : 9,658.38 = 4,346.71 : x
  2. Step 2: Convert to fraction form
    6,999.10/9,658.38 = 4,346.71/x
  3. Step 3: Cross multiply
    6,999.10x = 9,658.38 × 4,346.71
  4. Step 4: Simplify right side
    6,999.10x = 41,982,176.93
  5. Step 5: Solve for x
    x = 41,982,176.93/6,999.10
  6. Step 6: Final answer
    x = 5,998.23

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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.