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Finding the Fourth Proportional to 6,998.94, 9,658.04 and 4,014.27

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Solution

The fourth proportional to 6,998.94, 9,658.04 and 4,014.27 is: 5,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.94 : 9,658.04 = 4,014.27 : x
  2. Step 2: Convert to fraction form
    6,998.94/9,658.04 = 4,014.27/x
  3. Step 3: Cross multiply
    6,998.94x = 9,658.04 × 4,014.27
  4. Step 4: Simplify right side
    6,998.94x = 38,769,960.16
  5. Step 5: Solve for x
    x = 38,769,960.16/6,998.94
  6. Step 6: Final answer
    x = 5,539.40

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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.