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Finding the Fourth Proportional to 6,482.62, 9,724.23 and 2,100.42

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Solution

The fourth proportional to 6,482.62, 9,724.23 and 2,100.42 is: 3,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.62 : 9,724.23 = 2,100.42 : x
  2. Step 2: Convert to fraction form
    6,482.62/9,724.23 = 2,100.42/x
  3. Step 3: Cross multiply
    6,482.62x = 9,724.23 × 2,100.42
  4. Step 4: Simplify right side
    6,482.62x = 20,424,967.18
  5. Step 5: Solve for x
    x = 20,424,967.18/6,482.62
  6. Step 6: Final answer
    x = 3,150.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.