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Finding the Fourth Proportional to 6,155.94, 9,233.97 and 3,822.74

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Solution

The fourth proportional to 6,155.94, 9,233.97 and 3,822.74 is: 5,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.94 : 9,233.97 = 3,822.74 : x
  2. Step 2: Convert to fraction form
    6,155.94/9,233.97 = 3,822.74/x
  3. Step 3: Cross multiply
    6,155.94x = 9,233.97 × 3,822.74
  4. Step 4: Simplify right side
    6,155.94x = 35,299,040.60
  5. Step 5: Solve for x
    x = 35,299,040.60/6,155.94
  6. Step 6: Final answer
    x = 5,734.14

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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.