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Finding the Fourth Proportional to 6,101.84, 9,138.28 and 3,903.76

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Solution

The fourth proportional to 6,101.84, 9,138.28 and 3,903.76 is: 5,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.84 : 9,138.28 = 3,903.76 : x
  2. Step 2: Convert to fraction form
    6,101.84/9,138.28 = 3,903.76/x
  3. Step 3: Cross multiply
    6,101.84x = 9,138.28 × 3,903.76
  4. Step 4: Simplify right side
    6,101.84x = 35,673,651.93
  5. Step 5: Solve for x
    x = 35,673,651.93/6,101.84
  6. Step 6: Final answer
    x = 5,846.38

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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.