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Finding the Fourth Proportional to 7,874.62, 11,816.06 and 5,100.58

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Solution

The fourth proportional to 7,874.62, 11,816.06 and 5,100.58 is: 7,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.62 : 11,816.06 = 5,100.58 : x
  2. Step 2: Convert to fraction form
    7,874.62/11,816.06 = 5,100.58/x
  3. Step 3: Cross multiply
    7,874.62x = 11,816.06 × 5,100.58
  4. Step 4: Simplify right side
    7,874.62x = 60,268,759.31
  5. Step 5: Solve for x
    x = 60,268,759.31/7,874.62
  6. Step 6: Final answer
    x = 7,653.55

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1.5x scale

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.