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Finding the Fourth Proportional to 4,097.63, 6,146.46 and 1,019.63

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Solution

The fourth proportional to 4,097.63, 6,146.46 and 1,019.63 is: 1,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.63 : 6,146.46 = 1,019.63 : x
  2. Step 2: Convert to fraction form
    4,097.63/6,146.46 = 1,019.63/x
  3. Step 3: Cross multiply
    4,097.63x = 6,146.46 × 1,019.63
  4. Step 4: Simplify right side
    4,097.63x = 6,267,084.28
  5. Step 5: Solve for x
    x = 6,267,084.28/4,097.63
  6. Step 6: Final answer
    x = 1,529.44

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Similar ratio
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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.