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Finding the Fourth Proportional to 6,955.16, 10,380.49 and 6,013.94

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Solution

The fourth proportional to 6,955.16, 10,380.49 and 6,013.94 is: 8,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.16 : 10,380.49 = 6,013.94 : x
  2. Step 2: Convert to fraction form
    6,955.16/10,380.49 = 6,013.94/x
  3. Step 3: Cross multiply
    6,955.16x = 10,380.49 × 6,013.94
  4. Step 4: Simplify right side
    6,955.16x = 62,427,644.03
  5. Step 5: Solve for x
    x = 62,427,644.03/6,955.16
  6. Step 6: Final answer
    x = 8,975.73

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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.