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Finding the Fourth Proportional to 4,902.53, 6,757.53 and 4,262.83

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Solution

The fourth proportional to 4,902.53, 6,757.53 and 4,262.83 is: 5,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.53 : 6,757.53 = 4,262.83 : x
  2. Step 2: Convert to fraction form
    4,902.53/6,757.53 = 4,262.83/x
  3. Step 3: Cross multiply
    4,902.53x = 6,757.53 × 4,262.83
  4. Step 4: Simplify right side
    4,902.53x = 28,806,168.73
  5. Step 5: Solve for x
    x = 28,806,168.73/4,902.53
  6. Step 6: Final answer
    x = 5,875.78

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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.