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Finding the Fourth Proportional to 6,193.05, 8,553.50 and 4,078.03

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Solution

The fourth proportional to 6,193.05, 8,553.50 and 4,078.03 is: 5,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.05 : 8,553.50 = 4,078.03 : x
  2. Step 2: Convert to fraction form
    6,193.05/8,553.50 = 4,078.03/x
  3. Step 3: Cross multiply
    6,193.05x = 8,553.50 × 4,078.03
  4. Step 4: Simplify right side
    6,193.05x = 34,881,429.61
  5. Step 5: Solve for x
    x = 34,881,429.61/6,193.05
  6. Step 6: Final answer
    x = 5,632.36

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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.