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Finding the Fourth Proportional to 7,141.19, 10,660.67 and 6,207.27

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Solution

The fourth proportional to 7,141.19, 10,660.67 and 6,207.27 is: 9,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.19 : 10,660.67 = 6,207.27 : x
  2. Step 2: Convert to fraction form
    7,141.19/10,660.67 = 6,207.27/x
  3. Step 3: Cross multiply
    7,141.19x = 10,660.67 × 6,207.27
  4. Step 4: Simplify right side
    7,141.19x = 66,173,626.03
  5. Step 5: Solve for x
    x = 66,173,626.03/7,141.19
  6. Step 6: Final answer
    x = 9,266.48

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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.