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Finding the Fourth Proportional to 6,968.46, 9,605.34 and 5,474.01

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Solution

The fourth proportional to 6,968.46, 9,605.34 and 5,474.01 is: 7,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.46 : 9,605.34 = 5,474.01 : x
  2. Step 2: Convert to fraction form
    6,968.46/9,605.34 = 5,474.01/x
  3. Step 3: Cross multiply
    6,968.46x = 9,605.34 × 5,474.01
  4. Step 4: Simplify right side
    6,968.46x = 52,579,727.21
  5. Step 5: Solve for x
    x = 52,579,727.21/6,968.46
  6. Step 6: Final answer
    x = 7,545.39

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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.