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Finding the Fourth Proportional to 4,097.88, 6,146.86 and 1,019.88

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Solution

The fourth proportional to 4,097.88, 6,146.86 and 1,019.88 is: 1,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.88 : 6,146.86 = 1,019.88 : x
  2. Step 2: Convert to fraction form
    4,097.88/6,146.86 = 1,019.88/x
  3. Step 3: Cross multiply
    4,097.88x = 6,146.86 × 1,019.88
  4. Step 4: Simplify right side
    4,097.88x = 6,269,059.58
  5. Step 5: Solve for x
    x = 6,269,059.58/4,097.88
  6. Step 6: Final answer
    x = 1,529.83

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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.