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Finding the Fourth Proportional to 6,628, 9,942 and 2,524.96

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Solution

The fourth proportional to 6,628, 9,942 and 2,524.96 is: 3,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628 : 9,942 = 2,524.96 : x
  2. Step 2: Convert to fraction form
    6,628/9,942 = 2,524.96/x
  3. Step 3: Cross multiply
    6,628x = 9,942 × 2,524.96
  4. Step 4: Simplify right side
    6,628x = 25,103,152.32
  5. Step 5: Solve for x
    x = 25,103,152.32/6,628
  6. Step 6: Final answer
    x = 3,787.44

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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.