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Finding the Fourth Proportional to 6,193.84, 9,293.94 and 4,115.28

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Solution

The fourth proportional to 6,193.84, 9,293.94 and 4,115.28 is: 6,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.84 : 9,293.94 = 4,115.28 : x
  2. Step 2: Convert to fraction form
    6,193.84/9,293.94 = 4,115.28/x
  3. Step 3: Cross multiply
    6,193.84x = 9,293.94 × 4,115.28
  4. Step 4: Simplify right side
    6,193.84x = 38,247,165.40
  5. Step 5: Solve for x
    x = 38,247,165.40/6,193.84
  6. Step 6: Final answer
    x = 6,175.03

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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.