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Finding the Fourth Proportional to 6,237, 8,608.14 and 3,878.82

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Solution

The fourth proportional to 6,237, 8,608.14 and 3,878.82 is: 5,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237 : 8,608.14 = 3,878.82 : x
  2. Step 2: Convert to fraction form
    6,237/8,608.14 = 3,878.82/x
  3. Step 3: Cross multiply
    6,237x = 8,608.14 × 3,878.82
  4. Step 4: Simplify right side
    6,237x = 33,389,425.59
  5. Step 5: Solve for x
    x = 33,389,425.59/6,237
  6. Step 6: Final answer
    x = 5,353.44

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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.