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Finding the Fourth Proportional to 4,097.57, 6,146.28 and 1,019.57

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Solution

The fourth proportional to 4,097.57, 6,146.28 and 1,019.57 is: 1,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.57 : 6,146.28 = 1,019.57 : x
  2. Step 2: Convert to fraction form
    4,097.57/6,146.28 = 1,019.57/x
  3. Step 3: Cross multiply
    4,097.57x = 6,146.28 × 1,019.57
  4. Step 4: Simplify right side
    4,097.57x = 6,266,531.97
  5. Step 5: Solve for x
    x = 6,266,531.97/4,097.57
  6. Step 6: Final answer
    x = 1,529.33

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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.