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Finding the Fourth Proportional to 7,141.62, 9,850.46 and 5,021.58

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Solution

The fourth proportional to 7,141.62, 9,850.46 and 5,021.58 is: 6,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.62 : 9,850.46 = 5,021.58 : x
  2. Step 2: Convert to fraction form
    7,141.62/9,850.46 = 5,021.58/x
  3. Step 3: Cross multiply
    7,141.62x = 9,850.46 × 5,021.58
  4. Step 4: Simplify right side
    7,141.62x = 49,464,872.93
  5. Step 5: Solve for x
    x = 49,464,872.93/7,141.62
  6. Step 6: Final answer
    x = 6,926.28

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1.5x scale

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.