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Finding the Fourth Proportional to 3,510.14, 4,843.82 and 2,017

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Solution

The fourth proportional to 3,510.14, 4,843.82 and 2,017 is: 2,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.14 : 4,843.82 = 2,017 : x
  2. Step 2: Convert to fraction form
    3,510.14/4,843.82 = 2,017/x
  3. Step 3: Cross multiply
    3,510.14x = 4,843.82 × 2,017
  4. Step 4: Simplify right side
    3,510.14x = 9,769,984.94
  5. Step 5: Solve for x
    x = 9,769,984.94/3,510.14
  6. Step 6: Final answer
    x = 2,783.36

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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.